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10132212300232 = 23113112912876959
BaseRepresentation
bin1001001101110001011011…
…1010100011100111001000
31022212122000021222222211211
42103130112322203213020
52312001232322101412
633314401333302504
72064012444350461
oct223342672434710
938778007888754
1010132212300232
113257057774050
121177835494a34
1358660447a239
1427058a357d68
15128867102ca7
hex93716ea39c8

10132212300232 has 64 divisors (see below), whose sum is σ = 21410106163200. Its totient is φ = 4453530984000.

The previous prime is 10132212300211. The next prime is 10132212300251. The reversal of 10132212300232 is 23200321223101.

10132212300232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2083369 + ... + 4960327.

It is an arithmetic number, because the mean of its divisors is an integer number (334532908800).

Almost surely, 210132212300232 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 10132212300232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10705053081600).

10132212300232 is an abundant number, since it is smaller than the sum of its proper divisors (11277893862968).

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

10132212300232 is a wasteful number, since it uses less digits than its factorization.

10132212300232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2878298 (or 2878294 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 10132212300232 its reverse (23200321223101), we get a palindrome (33332533523333).

The spelling of 10132212300232 in words is "ten trillion, one hundred thirty-two billion, two hundred twelve million, three hundred thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 22 31 44 62 88 124 248 341 682 1291 1364 2582 2728 5164 10328 14201 28402 40021 56804 80042 113608 160084 320168 440231 880462 1760924 2876959 3521848 5753918 11507836 23015672 31646549 63293098 89185729 126586196 178371458 253172392 356742916 713485832 981043019 1962086038 3714154069 3924172076 7428308138 7848344152 14856616276 29713232552 40855694759 81711389518 115138776139 163422779036 230277552278 326845558072 460555104556 921110209112 1266526537529 2533053075058 5066106150116 10132212300232