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10131112320 = 27357753803
BaseRepresentation
bin10010110111101110…
…01000000110000000
3222011001110211102020
421123313020012000
5131222031043240
64353144521440
7506026014420
oct113367100600
928131424366
1010131112320
1143298266aa
121b68a80280
13c55c05324
146c1732480
153e465b0d0
hex25bdc8180

10131112320 has 128 divisors (see below), whose sum is σ = 36906243840. Its totient is φ = 2315679744.

The previous prime is 10131112319. The next prime is 10131112337. The reversal of 10131112320 is 2321113101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10131112320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 363462 + ... + 390341.

It is an arithmetic number, because the mean of its divisors is an integer number (288330030).

Almost surely, 210131112320 is an apocalyptic number.

10131112320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10131112320 is an abundant number, since it is smaller than the sum of its proper divisors (26775131520).

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

10131112320 is an equidigital number, since it uses as much as digits as its factorization.

10131112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753832 (or 753820 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10131112320 its reverse (2321113101), we get a palindrome (12452225421).

The spelling of 10131112320 in words is "ten billion, one hundred thirty-one million, one hundred twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 280 320 336 384 420 448 480 560 640 672 840 896 960 1120 1344 1680 1920 2240 2688 3360 4480 6720 13440 753803 1507606 2261409 3015212 3769015 4522818 5276621 6030424 7538030 9045636 10553242 11307045 12060848 15076060 15829863 18091272 21106484 22614090 24121696 26383105 30152120 31659726 36182544 42212968 45228180 48243392 52766210 60304240 63319452 72365088 79149315 84425936 90456360 96486784 105532420 120608480 126638904 144730176 158298630 168851872 180912720 211064840 241216960 253277808 289460352 316597260 337703744 361825440 422129680 482433920 506555616 633194520 675407488 723650880 844259360 1013111232 1266389040 1447301760 1688518720 2026222464 2532778080 3377037440 5065556160 10131112320