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131322224001331 = 11127131717580333
BaseRepresentation
bin11101110110111111010110…
…100000110100000100110011
3122012222021121120201222112101
4131312333112200310010303
5114203040403321020311
61143144332531041231
736442501063242016
oct3566772640640463
9565867546658471
10131322224001331
1138930495981570
121288b163140217
13583782ba4036c
14246005b15737d
15102aed45e7ec1
hex776fd6834133

131322224001331 has 16 divisors (see below), whose sum is σ = 145490847879168. Its totient is φ = 117539658381600.

The previous prime is 131322224001193. The next prime is 131322224001361. The reversal of 131322224001331 is 133100422223131.

It is a cyclic number.

It is not a de Polignac number, because 131322224001331 - 215 = 131322223968563 is a prime.

It is a super-2 number, since 2×1313222240013312 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131322224001331.

It is not an unprimeable number, because it can be changed into a prime (131322224001361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 358607160 + ... + 358973173.

It is an arithmetic number, because the mean of its divisors is an integer number (9093177992448).

Almost surely, 2131322224001331 is an apocalyptic number.

131322224001331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131322224001331 is a deficient number, since it is larger than the sum of its proper divisors (14168623877837).

131322224001331 is a wasteful number, since it uses less digits than its factorization.

131322224001331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717580602.

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 131322224001331 its reverse (133100422223131), we get a palindrome (264422646224462).

The spelling of 131322224001331 in words is "one hundred thirty-one trillion, three hundred twenty-two billion, two hundred twenty-four million, one thousand, three hundred thirty-one".

Divisors: 1 11 127 131 1397 1441 16637 183007 717580333 7893383663 91132702291 94003023623 1002459725201 1034033259853 11938384000121 131322224001331