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132656331531030 = 23526946758216047
BaseRepresentation
bin11110001010011001110101…
…100001001010001100010110
3122101200211011211102110121020
4132022121311201022030112
5114341420131332443110
61150045251041302010
736641050363161456
oct3612316541121426
9571624154373536
10132656331531030
11392a526389562a
1212a65829034906
1359035911a0128
1424a885a491d66
151050a67a5cd70
hex78a67584a316

132656331531030 has 128 divisors (see below), whose sum is σ = 320351009771520. Its totient is φ = 35156191802880.

The previous prime is 132656331531023. The next prime is 132656331531043. The reversal of 132656331531030 is 30135133656231.

It is a super-3 number, since 3×1326563315310303 (a number of 43 digits) contains 333 as substring.

It is a Curzon number.

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, 21937541467 + ... + 21937547513.

It is an arithmetic number, because the mean of its divisors is an integer number (2502742263840).

Almost surely, 2132656331531030 is an apocalyptic number.

132656331531030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132656331531030 is an abundant number, since it is smaller than the sum of its proper divisors (187694678240490).

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

132656331531030 is a wasteful number, since it uses less digits than its factorization.

132656331531030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12614.

The product of its (nonzero) digits is 437400, while the sum is 42.

The spelling of 132656331531030 in words is "one hundred thirty-two trillion, six hundred fifty-six billion, three hundred thirty-one million, five hundred thirty-one thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 269 467 538 807 934 1345 1401 1614 2335 2690 2802 4035 4670 5821 6047 7005 8070 11642 12094 14010 17463 18141 29105 30235 34926 36282 58210 60470 87315 90705 125623 174630 181410 251246 376869 628115 753738 1256230 1565849 1626643 1884345 2718407 2823949 3131698 3253286 3768690 4697547 4879929 5436814 5647898 7829245 8133215 8155221 8471847 9395094 9759858 13592035 14119745 15658490 16266430 16310442 16943694 23487735 24399645 27184070 28239490 35199587 40776105 42359235 46975470 48799290 70399174 81552210 84718470 105598761 175997935 211197522 351995870 527993805 731251483 759642281 1055987610 1462502966 1519284562 2193754449 2278926843 3656257415 3798211405 4387508898 4557853686 7312514830 7596422810 9468688903 10968772245 11394634215 16438207129 18937377806 21937544490 22789268430 28406066709 32876414258 47343444515 49314621387 56812133418 82191035645 94686889030 98629242774 142030333545 164382071290 246573106935 284060667090 493146213870 4421877717701 8843755435402 13265633153103 22109388588505 26531266306206 44218777177010 66328165765515 132656331531030