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131223122133 = 31011074047473
BaseRepresentation
bin111101000110110000…
…0011111000011010101
3110112201011110021202120
41322031200133003111
54122221104402013
6140141050530153
712323555064045
oct1721540370325
9415634407676
10131223122133
1150719038974
1221522436959
13c4b340353c
1464cbad7725
15363041a123
hex1e8d81f0d5

131223122133 has 16 divisors (see below), whose sum is σ = 178347894336. Its totient is φ = 85806406400.

The previous prime is 131223122117. The next prime is 131223122201. The reversal of 131223122133 is 331221322131.

It is a cyclic number.

It is not a de Polignac number, because 131223122133 - 24 = 131223122117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131223122113) 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 15 ways as a sum of consecutive naturals, for example, 1991316 + ... + 2056157.

It is an arithmetic number, because the mean of its divisors is an integer number (11146743396).

Almost surely, 2131223122133 is an apocalyptic number.

It is an amenable number.

131223122133 is a deficient number, since it is larger than the sum of its proper divisors (47124772203).

131223122133 is a wasteful number, since it uses less digits than its factorization.

131223122133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4047684.

The product of its digits is 1296, while the sum is 24.

Adding to 131223122133 its reverse (331221322131), we get a palindrome (462444444264).

The spelling of 131223122133 in words is "one hundred thirty-one billion, two hundred twenty-three million, one hundred twenty-two thousand, one hundred thirty-three".

Divisors: 1 3 101 107 303 321 10807 32421 4047473 12142419 408794773 433079611 1226384319 1299238833 43741040711 131223122133