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32000013012 = 2231189101149181
BaseRepresentation
bin11101110011010110…
…010111001011010100
310001121010200002110010
4131303112113023110
51011014000404022
622411155200220
72211663423402
oct356326271324
9101533602403
1032000013012
111263119a450
1262508a6070
13302c845356
141797d08472
15c744e050c
hex7735972d4

32000013012 has 192 divisors, whose sum is σ = 84206304000. Its totient is φ = 9377280000.

The previous prime is 32000013011. The next prime is 32000013107. The reversal of 32000013012 is 21031000023.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32000013011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 176795562 + ... + 176795742.

It is an arithmetic number, because the mean of its divisors is an integer number (438574500).

Almost surely, 232000013012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32000013012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42103152000).

32000013012 is an abundant number, since it is smaller than the sum of its proper divisors (52206290988).

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

32000013012 is a wasteful number, since it uses less digits than its factorization.

32000013012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 32000013012 its reverse (21031000023), we get a palindrome (53031013035).

The spelling of 32000013012 in words is "thirty-two billion, thirteen thousand, twelve".