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122320541331 = 3213591171259
BaseRepresentation
bin111000111101011011…
…1110101011010010011
3102200201201200022202200
41301322313311122103
54001003024310311
6132105425414243
711560134306012
oct1617267653223
9380651608680
10122320541331
114796a83617a
121b858a9a383
13b6c4ba2151
145cc5600a79
1532ada83556
hex1c7adf5693

122320541331 has 6 divisors (see below), whose sum is σ = 176685226380. Its totient is φ = 81547027548.

The previous prime is 122320541327. The next prime is 122320541339. The reversal of 122320541331 is 133145023221.

122320541331 is a `hidden beast` number, since 1 + 2 + 2 + 320 + 5 + 4 + 1 + 331 = 666.

It is not a de Polignac number, because 122320541331 - 22 = 122320541327 is a prime.

It is a super-2 number, since 2×1223205413312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122320541295 and 122320541304.

It is not an unprimeable number, because it can be changed into a prime (122320541339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6795585621 + ... + 6795585638.

It is an arithmetic number, because the mean of its divisors is an integer number (29447537730).

Almost surely, 2122320541331 is an apocalyptic number.

122320541331 is a deficient number, since it is larger than the sum of its proper divisors (54364685049).

122320541331 is a wasteful number, since it uses less digits than its factorization.

122320541331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13591171265 (or 13591171262 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 122320541331 its reverse (133145023221), we get a palindrome (255465564552).

The spelling of 122320541331 in words is "one hundred twenty-two billion, three hundred twenty million, five hundred forty-one thousand, three hundred thirty-one".

Divisors: 1 3 9 13591171259 40773513777 122320541331