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131144151213 = 3279184450283
BaseRepresentation
bin111101000100011001…
…1001111000010101101
3110112111122212011000200
41322020303033002231
54122040400314323
6140125150144113
712321605615115
oct1721063170255
9415448764020
10131144151213
11506884aa949
12214bbab2039
13c49cc4369a
1464c141c045
15362851b443
hex1e88ccf0ad

131144151213 has 12 divisors (see below), whose sum is σ = 191828295360. Its totient is φ = 86322731976.

The previous prime is 131144151179. The next prime is 131144151239. The reversal of 131144151213 is 312151441131.

131144151213 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 441 + 5 + 1 + 213 = 666.

It is not a de Polignac number, because 131144151213 - 214 = 131144134829 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131144101213) 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, 92224431 + ... + 92225852.

It is an arithmetic number, because the mean of its divisors is an integer number (15985691280).

Almost surely, 2131144151213 is an apocalyptic number.

It is an amenable number.

131144151213 is a deficient number, since it is larger than the sum of its proper divisors (60684144147).

131144151213 is a wasteful number, since it uses less digits than its factorization.

131144151213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184450368 (or 184450365 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

Adding to 131144151213 its reverse (312151441131), we get a palindrome (443295592344).

The spelling of 131144151213 in words is "one hundred thirty-one billion, one hundred forty-four million, one hundred fifty-one thousand, two hundred thirteen".

Divisors: 1 3 9 79 237 711 184450283 553350849 1660052547 14571572357 43714717071 131144151213