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100131102021000 = 23353130125654907
BaseRepresentation
bin10110110001000110010110…
…110001000101010110001000
3111010112102212122220020112010
4112301012112301011112020
5101111021444104133000
6552543332050015520
730043143024010641
oct2661062661052610
9433472778806463
10100131102021000
11299a53a8750a66
12b2920b35775a0
1343b44264282bb
141aa252a7c46c8
15b8998e267d50
hex5b1196c45588

100131102021000 has 128 divisors (see below), whose sum is σ = 312649180421760. Its totient is φ = 26681102240000.

The previous prime is 100131102020959. The next prime is 100131102021001. The reversal of 100131102021000 is 120201131001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (100131102021001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8924454 + ... + 16730453.

It is an arithmetic number, because the mean of its divisors is an integer number (2442571722045).

Almost surely, 2100131102021000 is an apocalyptic number.

100131102021000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100131102021000 is an abundant number, since it is smaller than the sum of its proper divisors (212518078400760).

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

100131102021000 is a wasteful number, since it uses less digits than its factorization.

100131102021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25656232 (or 25656218 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 100131102021000 its reverse (120201131001), we get a palindrome (100251303152001).

The spelling of 100131102021000 in words is "one hundred trillion, one hundred thirty-one billion, one hundred two million, twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1301 1500 2602 3000 3903 5204 6505 7806 10408 13010 15612 19515 26020 31224 32525 39030 52040 65050 78060 97575 130100 156120 162625 195150 260200 325250 390300 487875 650500 780600 975750 1301000 1951500 3903000 25654907 51309814 76964721 102619628 128274535 153929442 205239256 256549070 307858884 384823605 513098140 615717768 641372675 769647210 1026196280 1282745350 1539294420 1924118025 2565490700 3078588840 3206863375 3848236050 5130981400 6413726750 7696472100 9620590125 12827453500 15392944200 19241180250 25654907000 33377034007 38482360500 66754068014 76964721000 100131102021 133508136028 166885170035 200262204042 267016272056 333770340070 400524408084 500655510105 667540680140 801048816168 834425850175 1001311020210 1335081360280 1668851700350 2002622040420 2503277550525 3337703400700 4005244080840 4172129250875 5006555101050 6675406801400 8344258501750 10013110202100 12516387752625 16688517003500 20026220404200 25032775505250 33377034007000 50065551010500 100131102021000