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3100013032032 = 253274137504997
BaseRepresentation
bin101101000111000111001…
…011001111001001100000
3101222100200020102201021200
4231013013023033021200
5401242311314011112
610332043141521200
7436653133000620
oct55070713171140
911870606381250
103100013032032
11a957875a2a54
12420978113200
13196439c532b7
14aa08198a880
1555989ba4cdc
hex2d1c72cf260

3100013032032 has 144 divisors (see below), whose sum is σ = 10320775369632. Its totient is φ = 864115107840.

The previous prime is 3100013031967. The next prime is 3100013032043. The reversal of 3100013032032 is 2302303100013.

3100013032032 is a `hidden beast` number, since 310 + 0 + 0 + 1 + 3 + 0 + 320 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×31000130320322 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3100013031996 and 3100013032014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18669843 + ... + 18835154.

It is an arithmetic number, because the mean of its divisors is an integer number (71672051178).

Almost surely, 23100013032032 is an apocalyptic number.

3100013032032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3100013032032 is an abundant number, since it is smaller than the sum of its proper divisors (7220762337600).

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

3100013032032 is a wasteful number, since it uses less digits than its factorization.

3100013032032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37505061 (or 37505050 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 3100013032032 its reverse (2302303100013), we get a palindrome (5402316132045).

The spelling of 3100013032032 in words is "three trillion, one hundred billion, thirteen million, thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 41 42 48 56 63 72 82 84 96 112 123 126 144 164 168 224 246 252 287 288 328 336 369 492 504 574 656 672 738 861 984 1008 1148 1312 1476 1722 1968 2016 2296 2583 2952 3444 3936 4592 5166 5904 6888 9184 10332 11808 13776 20664 27552 41328 82656 37504997 75009994 112514991 150019988 225029982 262534979 300039976 337544973 450059964 525069958 600079952 675089946 787604937 900119928 1050139916 1200159904 1350179892 1537704877 1575209874 1800239856 2100279832 2362814811 2700359784 3075409754 3150419748 3600479712 4200559664 4613114631 4725629622 5400719568 6150819508 6300839496 8401119328 9226229262 9451259244 10763934139 10801439136 12301639016 12601678992 13839343893 18452458524 18902518488 21527868278 24603278032 25203357984 27678687786 32291802417 36904917048 37805036976 43055736556 49206556064 55357375572 64583604834 73809834096 75610073952 86111473112 96875407251 110714751144 129167209668 147619668192 172222946224 193750814502 221429502288 258334419336 344445892448 387501629004 442859004576 516668838672 775003258008 1033337677344 1550006516016 3100013032032