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132212011130304 = 2637175786590123
BaseRepresentation
bin11110000011111100000001…
…111101010101110111000000
3122100010100022101012110111020
4132003330001331111313000
5114312130144322132204
61145105205345145440
736564000613115250
oct3603740175256700
9570110271173436
10132212011130304
1139143887583186
12129b36a702b280
1358a0701699401
14249114a007960
151044210218bd9
hex783f01f55dc0

132212011130304 has 112 divisors (see below), whose sum is σ = 423300640750848. Its totient is φ = 35552809709568.

The previous prime is 132212011130249. The next prime is 132212011130323. The reversal of 132212011130304 is 403031110212231.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 2893272214 + ... + 2893317909.

It is an arithmetic number, because the mean of its divisors is an integer number (3779470006704).

Almost surely, 2132212011130304 is an apocalyptic number.

132212011130304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

132212011130304 is an abundant number, since it is smaller than the sum of its proper divisors (291088629620544).

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

132212011130304 is a wasteful number, since it uses less digits than its factorization.

132212011130304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5786590162 (or 5786590152 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 132212011130304 its reverse (403031110212231), we get a palindrome (535243121342535).

The spelling of 132212011130304 in words is "one hundred thirty-two trillion, two hundred twelve billion, eleven million, one hundred thirty thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 119 136 168 192 204 224 238 272 336 357 408 448 476 544 672 714 816 952 1088 1344 1428 1632 1904 2856 3264 3808 5712 7616 11424 22848 5786590123 11573180246 17359770369 23146360492 34719540738 40506130861 46292720984 69439081476 81012261722 92585441968 98372032091 121518392583 138878162952 162024523444 185170883936 196744064182 243036785166 277756325904 295116096273 324049046888 370341767872 393488128364 486073570332 555512651808 590232192546 648098093776 688604224637 786976256728 972147140664 1111025303616 1180464385092 1296196187552 1377208449274 1573952513456 1944294281328 2065812673911 2360928770184 2592392375104 2754416898548 3147905026912 3888588562656 4131625347822 4721857540368 5508833797096 6295810053824 7777177125312 8263250695644 9443715080736 11017667594192 16526501391288 18887430161472 22035335188384 33053002782576 44070670376768 66106005565152 132212011130304