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113232102000 = 24353113167009
BaseRepresentation
bin110100101110100101…
…0001100001001110000
3101211021100011202210120
41221131022030021300
53323344404231000
6124003524530240
711115665662233
oct1513512141160
9354240152716
10113232102000
114402662a196
1219b41250980
13a8a6cc83b4
1456a256741a
152e2ac376a0
hex1a5d28c270

113232102000 has 160 divisors (see below), whose sum is σ = 368293124160. Its totient is φ = 29927833600.

The previous prime is 113232101993. The next prime is 113232102169. The reversal of 113232102000 is 201232311.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 594496 + ... + 761504.

It is an arithmetic number, because the mean of its divisors is an integer number (2301832026).

Almost surely, 2113232102000 is an apocalyptic number.

113232102000 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 113232102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184146562080).

113232102000 is an abundant number, since it is smaller than the sum of its proper divisors (255061022160).

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

113232102000 is a wasteful number, since it uses less digits than its factorization.

113232102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167148 (or 167132 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 113232102000 its reverse (201232311), we get a palindrome (113433334311).

The spelling of 113232102000 in words is "one hundred thirteen billion, two hundred thirty-two million, one hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 113 120 125 150 200 226 240 250 300 339 375 400 452 500 565 600 678 750 904 1000 1130 1200 1356 1500 1695 1808 2000 2260 2712 2825 3000 3390 4520 5424 5650 6000 6780 8475 9040 11300 13560 14125 16950 22600 27120 28250 33900 42375 45200 56500 67800 84750 113000 135600 167009 169500 226000 334018 339000 501027 668036 678000 835045 1002054 1336072 1670090 2004108 2505135 2672144 3340180 4008216 4175225 5010270 6680360 8016432 8350450 10020540 12525675 13360720 16700900 18872017 20041080 20876125 25051350 33401800 37744034 40082160 41752250 50102700 56616051 62628375 66803600 75488068 83504500 94360085 100205400 113232102 125256750 150976136 167009000 188720170 200410800 226464204 250513500 283080255 301952272 334018000 377440340 452928408 471800425 501027000 566160510 754880680 905856816 943600850 1002054000 1132321020 1415401275 1509761360 1887201700 2264642040 2359002125 2830802550 3774403400 4529284080 4718004250 5661605100 7077006375 7548806800 9436008500 11323210200 14154012750 18872017000 22646420400 28308025500 37744034000 56616051000 113232102000