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32020131132 = 223211293275969
BaseRepresentation
bin11101110100100011…
…000110110100111100
310001122112112012022200
4131310203012310330
51011034123144012
622413154311500
72212326423663
oct356443066474
9101575465280
1032020131132
11126415904a0
126257588590
133033a6a472
14179a863dda
15c761663dc
hex7748c6d3c

32020131132 has 72 divisors (see below), whose sum is σ = 88599616560. Its totient is φ = 9669918720.

The previous prime is 32020131119. The next prime is 32020131149. The reversal of 32020131132 is 23113102023.

32020131132 is a `hidden beast` number, since 320 + 2 + 0 + 1 + 311 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 21957 + ... + 254012.

It is an arithmetic number, because the mean of its divisors is an integer number (1230550230).

Almost surely, 232020131132 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 32020131132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44299808280).

32020131132 is an abundant number, since it is smaller than the sum of its proper divisors (56579485428).

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

32020131132 is a wasteful number, since it uses less digits than its factorization.

32020131132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276283 (or 276278 counting only the distinct ones).

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

Adding to 32020131132 its reverse (23113102023), we get a palindrome (55133233155).

The spelling of 32020131132 in words is "thirty-two billion, twenty million, one hundred thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 293 396 586 879 1172 1758 2637 3223 3516 5274 6446 9669 10548 12892 19338 29007 38676 58014 116028 275969 551938 827907 1103876 1655814 2483721 3035659 3311628 4967442 6071318 9106977 9934884 12142636 18213954 27320931 36427908 54641862 80858917 109283724 161717834 242576751 323435668 485153502 727730253 889448087 970307004 1455460506 1778896174 2668344261 2910921012 3557792348 5336688522 8005032783 10673377044 16010065566 32020131132