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13112131000032 = 253245528232639
BaseRepresentation
bin1011111011001110011111…
…1010010001011011100000
31201102111200221202112010200
42332303213322101123200
53204312121014000112
643515344013025200
72522214554361051
oct276634772213340
951374627675120
1013112131000032
1141a5907131759
121579276185200
1374161280838c
143348b8244728
1517b1238bbcdc
hexbece7e916e0

13112131000032 has 36 divisors (see below), whose sum is σ = 37287622532160. Its totient is φ = 4370710333248.

The previous prime is 13112131000019. The next prime is 13112131000037. The reversal of 13112131000032 is 23000013121131.

It is a tau number, because it is divible by the number of its divisors (36).

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 = 13112130999969 and 13112131000014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13112131000037) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22764116032 + ... + 22764116607.

It is an arithmetic number, because the mean of its divisors is an integer number (1035767292560).

Almost surely, 213112131000032 is an apocalyptic number.

13112131000032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13112131000032 is an abundant number, since it is smaller than the sum of its proper divisors (24175491532128).

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

13112131000032 is a wasteful number, since it uses less digits than its factorization.

13112131000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45528232655 (or 45528232644 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13112131000032 its reverse (23000013121131), we get a palindrome (36112144121163).

The spelling of 13112131000032 in words is "thirteen trillion, one hundred twelve billion, one hundred thirty-one million, thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 45528232639 91056465278 136584697917 182112930556 273169395834 364225861112 409754093751 546338791668 728451722224 819508187502 1092677583336 1456903444448 1639016375004 2185355166672 3278032750008 4370710333344 6556065500016 13112131000032