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131013231032100 = 223523171198414707
BaseRepresentation
bin11101110010011111100101…
…000110001011011100100100
3122011212202001022221210011210
4131302133211012023130210
5114133010044121011400
61142350351503231420
736411251666320224
oct3562374506133444
9564782038853153
10131013231032100
113882144345639a
121283b2a9ba8570
135814657a536b1
14244d107910084
151022e4c69a950
hex7727e518b724

131013231032100 has 144 divisors (see below), whose sum is σ = 396804018917376. Its totient is φ = 33333670608000.

The previous prime is 131013231032087. The next prime is 131013231032129. The reversal of 131013231032100 is 1230132310131.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98547054 + ... + 99867653.

It is an arithmetic number, because the mean of its divisors is an integer number (2755583464704).

Almost surely, 2131013231032100 is an apocalyptic number.

131013231032100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131013231032100 is an abundant number, since it is smaller than the sum of its proper divisors (265790787885276).

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

131013231032100 is a wasteful number, since it uses less digits than its factorization.

131013231032100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198414826 (or 198414819 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 131013231032100 its reverse (1230132310131), we get a palindrome (132243363342231).

The spelling of 131013231032100 in words is "one hundred thirty-one trillion, thirteen billion, two hundred thirty-one million, thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 71 75 93 100 124 142 150 155 186 213 284 300 310 355 372 426 465 620 710 775 852 930 1065 1420 1550 1775 1860 2130 2201 2325 3100 3550 4260 4402 4650 5325 6603 7100 8804 9300 10650 11005 13206 21300 22010 26412 33015 44020 55025 66030 110050 132060 165075 220100 330150 660300 198414707 396829414 595244121 793658828 992073535 1190488242 1984147070 2380976484 2976220605 3968294140 4960367675 5952441210 6150855917 9920735350 11904882420 12301711834 14087444197 14881103025 18452567751 19841470700 24603423668 28174888394 29762206050 30754279585 36905135502 42262332591 56349776788 59524412100 61508559170 70437220985 73810271004 84524665182 92262838755 123017118340 140874441970 153771397925 169049330364 184525677510 211311662955 281748883940 307542795850 352186104925 369051355020 422623325910 436710770107 461314193775 615085591700 704372209850 845246651820 873421540214 922628387550 1056558314775 1310132310321 1408744419700 1746843080428 1845256775100 2113116629550 2183553850535 2620264620642 4226233259100 4367107701070 5240529241284 6550661551605 8734215402140 10917769252675 13101323103210 21835538505350 26202646206420 32753307758025 43671077010700 65506615516050 131013231032100