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132330355500252 = 223713193627884167
BaseRepresentation
bin11110000101101010001111…
…110101010010010011011100
3122100112122210000000100112010
4132011222033311102103130
5114321100032002002002
61145235420455511220
736605360366504010
oct3605521765222334
9570478700010463
10132330355500252
1139189a9691a9a8
1212a12614388510
1358ab911870b10
142496b754d8540
151047339b8246c
hex785a8fd524dc

132330355500252 has 96 divisors (see below), whose sum is σ = 381994681664512. Its totient is φ = 34719482843136.

The previous prime is 132330355500251. The next prime is 132330355500257. The reversal of 132330355500252 is 252005553033231.

It is a super-2 number, since 2×1323303555002522 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 132330355500252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132330355500251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 313731328 + ... + 314152839.

Almost surely, 2132330355500252 is an apocalyptic number.

132330355500252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132330355500252 is an abundant number, since it is smaller than the sum of its proper divisors (249664326164260).

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

132330355500252 is a wasteful number, since it uses less digits than its factorization.

132330355500252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627884387 (or 627884385 counting only the distinct ones).

The product of its (nonzero) digits is 405000, while the sum is 39.

The spelling of 132330355500252 in words is "one hundred thirty-two trillion, three hundred thirty billion, three hundred fifty-five million, five hundred thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 193 273 364 386 546 579 772 1092 1158 1351 2316 2509 2702 4053 5018 5404 7527 8106 10036 15054 16212 17563 30108 35126 52689 70252 105378 210756 627884167 1255768334 1883652501 2511536668 3767305002 4395189169 7534610004 8162494171 8790378338 13185567507 16324988342 17580756676 24487482513 26371135014 32649976684 48974965026 52742270028 57137459197 97949930052 114274918394 121181644231 171412377591 228549836788 242363288462 342824755182 363544932693 484726576924 685649510364 727089865386 848271509617 1454179730772 1575361375003 1696543019234 2544814528851 3150722750006 3393086038468 4726084125009 5089629057702 6301445500012 9452168250018 10179258115404 11027529625021 18904336500036 22055059250042 33082588875063 44110118500084 66165177750126 132330355500252