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30203112323100 = 22352732188163029
BaseRepresentation
bin1101101111000001101011…
…10001111111100000011100
310221221101111211100211122110
412313200311301333200130
512424321433223314400
6144123041313114020
76235050164554413
oct667406561774034
9127841454324573
1030203112323100
119695082570702
123479695258910
1313b11ab4ac512
14765ba495247a
153759bb5cce50
hex1b7835c7f81c

30203112323100 has 144 divisors (see below), whose sum is σ = 88590217050720. Its totient is φ = 7943343206400.

The previous prime is 30203112323089. The next prime is 30203112323107. The reversal of 30203112323100 is 132321130203.

It is a super-2 number, since 2×302031123231002 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30203112323107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 479162386 + ... + 479225414.

It is an arithmetic number, because the mean of its divisors is an integer number (615209840630).

Almost surely, 230203112323100 is an apocalyptic number.

30203112323100 is a gapful number since it is divisible by the number (30) 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 30203112323100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44295108525360).

30203112323100 is an abundant number, since it is smaller than the sum of its proper divisors (58387104727620).

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

30203112323100 is a wasteful number, since it uses less digits than its factorization.

30203112323100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85000 (or 84993 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 30203112323100 its reverse (132321130203), we get a palindrome (30335433453303).

The spelling of 30203112323100 in words is "thirty trillion, two hundred three billion, one hundred twelve million, three hundred twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 73 75 100 146 150 219 292 300 365 438 730 876 1095 1460 1825 2190 3650 4380 5475 7300 10950 21881 21900 43762 63029 65643 87524 109405 126058 131286 189087 218810 252116 262572 315145 328215 378174 437620 547025 630290 656430 756348 945435 1094050 1260580 1312860 1575725 1597313 1641075 1890870 2188100 3151450 3194626 3282150 3781740 4601117 4727175 4791939 6302900 6389252 6564300 7986565 9202234 9454350 9583878 13803351 15973130 18404468 18908700 19167756 23005585 23959695 27606702 31946260 39932825 46011170 47919390 55213404 69016755 79865650 92022340 95838780 115027925 119798475 138033510 159731300 230055850 239596950 276067020 345083775 460111700 479193900 690167550 1379137549 1380335100 2758275098 4137412647 5516550196 6895687745 8274825294 13791375490 16549650588 20687063235 27582750980 34478438725 41374126470 68956877450 82748252940 100677041077 103435316175 137913754900 201354082154 206870632350 302031123231 402708164308 413741264700 503385205385 604062246462 1006770410770 1208124492924 1510155616155 2013540821540 2516926026925 3020311232310 5033852053850 6040622464620 7550778080775 10067704107700 15101556161550 30203112323100