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232013310100 = 2252111371228517
BaseRepresentation
bin1101100000010100010…
…0100010100010010100
3211011212101222100010021
43120011010202202110
512300130401410400
6254330242234524
722522335411415
oct3300504424224
9734771870107
10232013310100
118a43a512980
1238b70955a44
1318b5683ba10
14b32da8b80c
15607dbde71a
hex3605122894

232013310100 has 144 divisors (see below), whose sum is σ = 599821358976. Its totient is φ = 76781376000.

The previous prime is 232013310077. The next prime is 232013310103. The reversal of 232013310100 is 1013310232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232013310103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 901042 + ... + 1129558.

It is an arithmetic number, because the mean of its divisors is an integer number (4165426104).

Almost surely, 2232013310100 is an apocalyptic number.

232013310100 is a gapful number since it is divisible by the number (20) 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 232013310100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299910679488).

232013310100 is an abundant number, since it is smaller than the sum of its proper divisors (367808048876).

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

232013310100 is a wasteful number, since it uses less digits than its factorization.

232013310100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228626 (or 228619 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 232013310100 its reverse (1013310232), we get a palindrome (233026620332).

The spelling of 232013310100 in words is "two hundred thirty-two billion, thirteen million, three hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 44 50 52 55 65 71 100 110 130 142 143 220 260 275 284 286 325 355 550 572 650 710 715 781 923 1100 1300 1420 1430 1562 1775 1846 2860 3124 3550 3575 3692 3905 4615 7100 7150 7810 9230 10153 14300 15620 18460 19525 20306 23075 39050 40612 46150 50765 78100 92300 101530 203060 228517 253825 457034 507650 914068 1015300 1142585 2285170 2513687 2970721 4570340 5027374 5712925 5941442 10054748 11425850 11882884 12568435 14853605 16224707 22851700 25136870 29707210 32449414 32677931 50273740 59414420 62842175 64898828 65355862 74268025 81123535 125684350 130711724 148536050 162247070 163389655 178471777 210921191 251368700 297072100 324494140 326779310 356943554 405617675 421842382 653558620 713887108 811235350 816948275 843684764 892358885 1054605955 1622470700 1633896550 1784717770 2109211910 2320133101 3267793100 3569435540 4218423820 4461794425 4640266202 5273029775 8923588850 9280532404 10546059550 11600665505 17847177700 21092119100 23201331010 46402662020 58003327525 116006655050 232013310100