Search a number
-
+
112303551455000 = 235447761627973
BaseRepresentation
bin11001100010001110110101…
…010010101001111100011000
3112201122010002121000021012122
4121202032311102221330120
5104204440133133030000
61034503312254000412
732440443461024423
oct3142166522517430
9481563077007178
10112303551455000
113286873a059a54
12107192201a6108
134a88244378499
141da37414869ba
15ceb416a72085
hex6623b54a9f18

112303551455000 has 160 divisors (see below), whose sum is σ = 269079222836160. Its totient is φ = 43907802240000.

The previous prime is 112303551454961. The next prime is 112303551455009. The reversal of 112303551455000 is 554155303211.

112303551455000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1123035514550002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112303551455009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 178521014 + ... + 179148986.

It is an arithmetic number, because the mean of its divisors is an integer number (1681745142726).

Almost surely, 2112303551455000 is an apocalyptic number.

112303551455000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112303551455000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134539611418080).

112303551455000 is an abundant number, since it is smaller than the sum of its proper divisors (156775671381160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112303551455000 is an equidigital number, since it uses as much as digits as its factorization.

112303551455000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628807 (or 628788 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 35.

The spelling of 112303551455000 in words is "one hundred twelve trillion, three hundred three billion, five hundred fifty-one million, four hundred fifty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 125 188 200 235 250 376 470 500 625 761 940 1000 1175 1250 1522 1880 2350 2500 3044 3805 4700 5000 5875 6088 7610 9400 11750 15220 19025 23500 29375 30440 35767 38050 47000 58750 71534 76100 95125 117500 143068 152200 178835 190250 235000 286136 357670 380500 475625 627973 715340 761000 894175 951250 1255946 1430680 1788350 1902500 2511892 3139865 3576700 3805000 4470875 5023784 6279730 7153400 8941750 12559460 15699325 17883500 22354375 25118920 29514731 31398650 35767000 44708750 59029462 62797300 78496625 89417500 118058924 125594600 147573655 156993250 178835000 236117848 295147310 313986500 392483125 477887453 590294620 627973000 737868275 784966250 955774906 1180589240 1475736550 1569932500 1911549812 2389437265 2951473100 3139865000 3689341375 3823099624 4778874530 5902946200 7378682750 9557749060 11947186325 14757365500 18446706875 19115498120 22460710291 23894372650 29514731000 36893413750 44921420582 47788745300 59735931625 73786827500 89842841164 95577490600 112303551455 119471863250 147573655000 179685682328 224607102910 238943726500 298679658125 449214205820 477887453000 561517757275 597359316250 898428411640 1123035514550 1194718632500 2246071029100 2389437265000 2807588786375 4492142058200 5615177572750 11230355145500 14037943931875 22460710291000 28075887863750 56151775727500 112303551455000