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131143503051 = 321123498711549
BaseRepresentation
bin111101000100011000…
…0110000110011001011
3110112111121122012220200
41322020300300303023
54122040214044201
6140125124223243
712321600245331
oct1721060606313
9415447565820
10131143503051
11506880a7980
12214bb83ab23
13c49ca77662
1464c12cdb51
15362843e386
hex1e88c30ccb

131143503051 has 48 divisors (see below), whose sum is σ = 215697081600. Its totient is φ = 76003392960.

The previous prime is 131143503031. The next prime is 131143503059. The reversal of 131143503051 is 150305341131.

It is a happy number.

131143503051 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 4 + 350 + 305 + 1 = 666.

It is not a de Polignac number, because 131143503051 - 217 = 131143371979 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131143503059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11349625 + ... + 11361173.

It is an arithmetic number, because the mean of its divisors is an integer number (4493689200).

Almost surely, 2131143503051 is an apocalyptic number.

131143503051 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131143503051 is a deficient number, since it is larger than the sum of its proper divisors (84553578549).

131143503051 is a wasteful number, since it uses less digits than its factorization.

131143503051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16576 (or 16573 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

Adding to 131143503051 its reverse (150305341131), we get a palindrome (281448844182).

The spelling of 131143503051 in words is "one hundred thirty-one billion, one hundred forty-three million, five hundred three thousand, fifty-one".

Divisors: 1 3 9 11 23 33 69 99 207 253 759 2277 4987 11549 14961 34647 44883 54857 103941 114701 127039 164571 265627 344103 381117 493713 796881 1032309 1143351 1261711 2390643 2921897 3785133 8765691 11355399 26297073 57594863 172784589 518353767 633543493 1324681849 1900630479 3974045547 5701891437 11922136641 14571500339 43714501017 131143503051