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32012000020 = 225711133794219
BaseRepresentation
bin11101110100000100…
…000101101100010100
310001121222020002112101
4131310010011230110
51011030033000040
622412304131444
72212200340060
oct356404055424
9101558202471
1032012000020
1112637a37470
126254906b84
133032181460
141799748aa0
15c755ac09a
hex774105b14

32012000020 has 192 divisors, whose sum is σ = 90520012800. Its totient is φ = 9183767040.

The previous prime is 32012000003. The next prime is 32012000087. The reversal of 32012000020 is 2000021023.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 32011999970 and 32012000006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7585471 + ... + 7589689.

It is an arithmetic number, because the mean of its divisors is an integer number (471458400).

Almost surely, 232012000020 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 32012000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45260006400).

32012000020 is an abundant number, since it is smaller than the sum of its proper divisors (58508012780).

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

32012000020 is a wasteful number, since it uses less digits than its factorization.

32012000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4638 (or 4636 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 32012000020 its reverse (2000021023), we get a palindrome (34012021043).

The spelling of 32012000020 in words is "thirty-two billion, twelve million, twenty", and thus it is an aban number and an uban number.