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10131331200 = 273521055347
BaseRepresentation
bin10010110111101111…
…11101100010000000
3222011001212221122220
421123313331202000
5131222110044300
64353153331040
7506030615514
oct113367754200
928131787586
1010131331200
1143299660a1
121b68b66a80
13c55c80b43
146c178c144
153e46a0da0
hex25bdfd880

10131331200 has 96 divisors (see below), whose sum is σ = 33370103760. Its totient is φ = 2701685760.

The previous prime is 10131331153. The next prime is 10131331201. The reversal of 10131331200 is 213313101.

It is a tau number, because it is divible by the number of its divisors (96).

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 10131331200.

It is not an unprimeable number, because it can be changed into a prime (10131331201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 518074 + ... + 537273.

Almost surely, 210131331200 is an apocalyptic number.

10131331200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10131331200 is an abundant number, since it is smaller than the sum of its proper divisors (23238772560).

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

10131331200 is a wasteful number, since it uses less digits than its factorization.

10131331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055374 (or 1055357 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 10131331200 its reverse (213313101), we get a palindrome (10344644301).

The spelling of 10131331200 in words is "ten billion, one hundred thirty-one million, three hundred thirty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 300 320 384 400 480 600 640 800 960 1200 1600 1920 2400 3200 4800 9600 1055347 2110694 3166041 4221388 5276735 6332082 8442776 10553470 12664164 15830205 16885552 21106940 25328328 26383675 31660410 33771104 42213880 50656656 52767350 63320820 67542208 79151025 84427760 101313312 105534700 126641640 135084416 158302050 168855520 202626624 211069400 253283280 316604100 337711040 405253248 422138800 506566560 633208200 675422080 844277600 1013133120 1266416400 1688555200 2026266240 2532832800 3377110400 5065665600 10131331200