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132256310355345 = 351119661101962633
BaseRepresentation
bin11110000100100101010010…
…011001011110010110010001
3122100021120122200000021000210
4132010211102121132112101
5114313341410422332340
61145141413223234333
736600126443243661
oct3604452231362621
9570246580007023
10132256310355345
113916064a30a670
1212a001aa8a89a9
1358a49413594c7
14249334d57a1a1
151045454380180
hex78495265e591

132256310355345 has 128 divisors (see below), whose sum is σ = 243607577241600. Its totient is φ = 60596910950400.

The previous prime is 132256310355293. The next prime is 132256310355347. The reversal of 132256310355345 is 543553013652231.

It is not a de Polignac number, because 132256310355345 - 216 = 132256310289809 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 132256310355294 and 132256310355303.

It is not an unprimeable number, because it can be changed into a prime (132256310355347) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2111576149 + ... + 2111638781.

It is an arithmetic number, because the mean of its divisors is an integer number (1903184197200).

Almost surely, 2132256310355345 is an apocalyptic number.

132256310355345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132256310355345 is a deficient number, since it is larger than the sum of its proper divisors (111351266886255).

132256310355345 is a wasteful number, since it uses less digits than its factorization.

132256310355345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64351.

The product of its (nonzero) digits is 4860000, while the sum is 48.

The spelling of 132256310355345 in words is "one hundred thirty-two trillion, two hundred fifty-six billion, three hundred ten million, three hundred fifty-five thousand, three hundred forty-five".

Divisors: 1 3 5 11 15 19 33 55 57 95 165 209 285 627 661 1019 1045 1983 3057 3135 3305 5095 7271 9915 11209 12559 15285 19361 21813 33627 36355 37677 56045 58083 62633 62795 96805 109065 138149 168135 187899 188385 212971 290415 313165 414447 638913 673559 688963 690745 939495 1064855 1190027 2020677 2066889 2072235 3194565 3367795 3444815 3570081 5950135 7409149 10103385 10334445 12797621 13090297 17850405 22227447 37045745 38392863 39270891 41400413 63823027 63988105 65451485 111137235 124201239 140773831 191469081 191964315 196354455 207002065 319115135 422321493 455404543 621006195 702053297 703869155 786607847 957345405 1212637513 1366213629 2106159891 2111607465 2277022715 2359823541 3510266485 3637912539 3933039235 6063187565 6831068145 8652686317 10530799455 11799117705 13339012643 18189562695 25958058951 40017037929 42187020847 43263431585 66695063215 126561062541 129790294755 200085189645 210935104235 464057229317 632805312705 801553396093 1392171687951 2320286146585 2404660188279 4007766980465 6960858439755 8817087357023 12023300941395 26451262071069 44085436785115 132256310355345