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232213211333012 = 2271327121227110899
BaseRepresentation
bin110100110011001001011001…
…111110010100000110010100
31010110012100212221220121101002
4310303021121332110012110
5220414040124100124022
62141513135424322432
766624564564652010
oct6463113176240624
91113170787817332
10232213211333012
1167a99085014418
1222064586773418
139c757c5377b70
14414b27239d540
151bca5ea064092
hexd33259f94194

232213211333012 has 96 divisors (see below), whose sum is σ = 502025285529600. Its totient is φ = 91520446458240.

The previous prime is 232213211332997. The next prime is 232213211333107. The reversal of 232213211333012 is 210333112312232.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2093860739 + ... + 2093971637.

It is an arithmetic number, because the mean of its divisors is an integer number (5229430057600).

Almost surely, 2232213211333012 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 232213211333012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251012642764800).

232213211333012 is an abundant number, since it is smaller than the sum of its proper divisors (269812074196588).

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

232213211333012 is a wasteful number, since it uses less digits than its factorization.

232213211333012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132421 (or 132419 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 29.

Adding to 232213211333012 its reverse (210333112312232), we get a palindrome (442546323645244).

The spelling of 232213211333012 in words is "two hundred thirty-two trillion, two hundred thirteen billion, two hundred eleven million, three hundred thirty-three thousand, twelve".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 271 364 542 1084 1897 3523 3794 7046 7588 14092 21227 24661 42454 49322 84908 98644 110899 148589 221798 275951 297178 443596 551902 594356 776293 1103804 1441687 1552586 1931657 2883374 3105172 3863314 5752517 5766748 7726628 10091809 11505034 20183618 23010068 30053629 40267619 40367236 60107258 74782721 80535238 120214516 149565442 161070476 210375403 299130884 390697177 420750806 523479047 781394354 841501612 1046958094 1562788708 2093916188 2354053073 2734880239 4708106146 5469760478 9416212292 10939520956 16478371511 30602689949 32956743022 61205379898 65913486044 122410759796 214218829643 428437659286 637948382783 856875318572 1275896765566 2551793531132 4465638679481 8293328976179 8931277358962 16586657952358 17862554717924 33173315904716 58053302833253 116106605666506 232213211333012