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13121032032 = 253245559139
BaseRepresentation
bin11000011100001001…
…10000111101100000
31020212102112111012100
430032010300331200
5203332441011112
610005553130400
7643102634463
oct141604607540
936772474170
1013121032032
115623531629
122662259a00
13131149a5a4
148c68732da
1551bdad2dc
hex30e130f60

13121032032 has 36 divisors (see below), whose sum is σ = 37312935660. Its totient is φ = 4373677248.

The previous prime is 13121032013. The next prime is 13121032037. The reversal of 13121032032 is 23023012131.

13121032032 is a `hidden beast` number, since 1 + 312 + 1 + 0 + 320 + 32 = 666.

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

It is a super-2 number, since 2×131210320322 (a number of 21 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 = 13121031996 and 13121032014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13121032037) 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, 22779282 + ... + 22779857.

It is an arithmetic number, because the mean of its divisors is an integer number (1036470435).

Almost surely, 213121032032 is an apocalyptic number.

13121032032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13121032032 is an abundant number, since it is smaller than the sum of its proper divisors (24191903628).

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

13121032032 is a wasteful number, since it uses less digits than its factorization.

13121032032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45559155 (or 45559144 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13121032032 its reverse (23023012131), we get a palindrome (36144044163).

The spelling of 13121032032 in words is "thirteen billion, one hundred twenty-one million, thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 45559139 91118278 136677417 182236556 273354834 364473112 410032251 546709668 728946224 820064502 1093419336 1457892448 1640129004 2186838672 3280258008 4373677344 6560516016 13121032032