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32013221020 = 225111972932521
BaseRepresentation
bin11101110100001000…
…101111110010011100
310001122001112010102121
4131310020233302130
51011030341033040
622412350232324
72212213613614
oct356410576234
9101561463377
1032013221020
11126386a0860
1262551b56a4
1330324bb141
141799985a44
15c7574dc4a
hex77422fc9c

32013221020 has 96 divisors (see below), whose sum is σ = 73992574656. Its totient is φ = 11537971200.

The previous prime is 32013220997. The next prime is 32013221021. The reversal of 32013221020 is 2012231023.

It is a junction number, because it is equal to n+sod(n) for n = 32013220985 and 32013221003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32013221021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12697360 + ... + 12699880.

It is an arithmetic number, because the mean of its divisors is an integer number (770755986).

Almost surely, 232013221020 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 32013221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36996287328).

32013221020 is an abundant number, since it is smaller than the sum of its proper divisors (41979353636).

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

32013221020 is a wasteful number, since it uses less digits than its factorization.

32013221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3031 (or 3029 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 32013221020 its reverse (2012231023), we get a palindrome (34025452043).

The spelling of 32013221020 in words is "thirty-two billion, thirteen million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 197 220 293 394 586 788 985 1172 1465 1970 2167 2521 2930 3223 3940 4334 5042 5860 6446 8668 10084 10835 12605 12892 16115 21670 25210 27731 32230 43340 50420 55462 57721 64460 110924 115442 138655 230884 277310 288605 496637 554620 577210 634931 738653 993274 1154420 1269862 1477306 1986548 2483185 2539724 2954612 3174655 3693265 4966370 5463007 6349310 7386530 8125183 9932740 10926014 12698620 14773060 16250366 21852028 27315035 32500732 40625915 54630070 81251830 109260140 145514641 162503660 291029282 582058564 727573205 1455146410 1600661051 2910292820 3201322102 6402644204 8003305255 16006610510 32013221020