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132220134051345 = 3251928139127981
BaseRepresentation
bin11110000100000011100110…
…000111110100111000010001
3122100011010021110220121100200
4132010003212013310320101
5114312243313304120340
61145113031355405413
736564406115603634
oct3604034607647021
9570133243817320
10132220134051345
1139147275777a6a
12129b5193453869
1358a13c7519b72
1424916bab4bc1b
1510445383e5330
hex7840e61f4e11

132220134051345 has 36 divisors (see below), whose sum is σ = 241878605369076. Its totient is φ = 66805962459840.

The previous prime is 132220134051311. The next prime is 132220134051361. The reversal of 132220134051345 is 543150431022231.

132220134051345 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 2 + 0 + 134 + 0 + 513 + 4 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 96158655826704 + 36061478224641 = 9806052^2 + 6005121^2 .

It is not a de Polignac number, because 132220134051345 - 27 = 132220134051217 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4069547746 + ... + 4069580235.

It is an arithmetic number, because the mean of its divisors is an integer number (6718850149141).

Almost surely, 2132220134051345 is an apocalyptic number.

132220134051345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132220134051345 is a deficient number, since it is larger than the sum of its proper divisors (109658471317731).

132220134051345 is a wasteful number, since it uses less digits than its factorization.

132220134051345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8139128030 (or 8139128008 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 132220134051345 its reverse (543150431022231), we get a palindrome (675370565073576).

The spelling of 132220134051345 in words is "one hundred thirty-two trillion, two hundred twenty billion, one hundred thirty-four million, fifty-one thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 19 45 57 95 171 285 361 855 1083 1805 3249 5415 16245 8139127981 24417383943 40695639905 73252151829 122086919715 154643431639 366260759145 463930294917 773217158195 1391790884751 2319651474585 2938225201141 6958954423755 8814675603423 14691126005705 26444026810269 44073378017115 132220134051345