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132303022212321 = 3253341327559013
BaseRepresentation
bin11110000101010000110010…
…101001000100010011100001
3122100110001020002121110101200
4132011100302221010103201
5114320123042141243241
61145215100324351413
736603402140416632
oct3605206251042341
9570401202543350
10132303022212321
113917943a9a7144
1212a09266545569
1358a9176b08a6c
1424957012d9889
15104678a2154b6
hex785432a444e1

132303022212321 has 12 divisors (see below), whose sum is σ = 191104730619348. Its totient is φ = 88201846253664.

The previous prime is 132303022212299. The next prime is 132303022212353. The reversal of 132303022212321 is 123212220303231.

132303022212321 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 0 + 302 + 22 + 12 + 321 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 116383209491025 + 15919812721296 = 10788105^2 + 3989964^2 .

It is not a de Polignac number, because 132303022212321 - 25 = 132303022212289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132303022212371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8978790 + ... + 18580223.

It is an arithmetic number, because the mean of its divisors is an integer number (15925394218279).

Almost surely, 2132303022212321 is an apocalyptic number.

It is an amenable number.

132303022212321 is a deficient number, since it is larger than the sum of its proper divisors (58801708407027).

132303022212321 is a wasteful number, since it uses less digits than its factorization.

132303022212321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28092432 (or 28092429 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 132303022212321 its reverse (123212220303231), we get a palindrome (255515242515552).

The spelling of 132303022212321 in words is "one hundred thirty-two trillion, three hundred three billion, twenty-two million, two hundred twelve thousand, three hundred twenty-one".

Divisors: 1 3 9 533413 1600239 4800717 27559013 82677039 248031117 14700335801369 44101007404107 132303022212321