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32013100032 = 210313277853
BaseRepresentation
bin11101110100001000…
…010010010000000000
310001122001021222110120
4131310020102100000
51011030323200112
622412343500240
72212212601104
oct356410222000
9101561258416
1032013100032
1112638618971
126255157680
133032478054
141799953904
15c75727e8c
hex774212400

32013100032 has 88 divisors (see below), whose sum is σ = 85401757056. Its totient is φ = 10661634048.

The previous prime is 32013099961. The next prime is 32013100051. The reversal of 32013100032 is 23000131023.

It is a junction number, because it is equal to n+sod(n) for n = 32013099984 and 32013100020.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4072618 + ... + 4080470.

It is an arithmetic number, because the mean of its divisors is an integer number (970474512).

Almost surely, 232013100032 is an apocalyptic number.

32013100032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32013100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42700878528).

32013100032 is an abundant number, since it is smaller than the sum of its proper divisors (53388657024).

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

32013100032 is a wasteful number, since it uses less digits than its factorization.

32013100032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9203 (or 9185 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 32013100032 its reverse (23000131023), we get a palindrome (55013231055).

The spelling of 32013100032 in words is "thirty-two billion, thirteen million, one hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1327 1536 2654 3072 3981 5308 7853 7962 10616 15706 15924 21232 23559 31412 31848 42464 47118 62824 63696 84928 94236 125648 127392 169856 188472 251296 254784 339712 376944 502592 509568 679424 753888 1005184 1019136 1358848 1507776 2010368 2038272 3015552 4020736 4076544 6031104 8041472 10420931 12062208 20841862 24124416 31262793 41683724 62525586 83367448 125051172 166734896 250102344 333469792 500204688 666939584 1000409376 1333879168 2000818752 2667758336 4001637504 5335516672 8003275008 10671033344 16006550016 32013100032