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131051403543135 = 3541983924852749
BaseRepresentation
bin11101110011000011001000…
…010110110000001001011111
3122012000101120122021021002210
4131303003020112300021133
5114134121233301340020
61142420103400451503
736414102643313655
oct3563031026601137
9565011518237083
10131051403543135
1138836651884979
1212846781a79b93
13581812c30cb2a
142450cc94cadd5
151023e339e93e0
hex7730c85b025f

131051403543135 has 32 divisors (see below), whose sum is σ = 210433204800000. Its totient is φ = 69644159843456.

The previous prime is 131051403543131. The next prime is 131051403543157. The reversal of 131051403543135 is 531345304150131.

It is not a de Polignac number, because 131051403543135 - 22 = 131051403543131 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131051403543093 and 131051403543102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131051403543131) 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 31 ways as a sum of consecutive naturals, for example, 7153260 + ... + 17699489.

It is an arithmetic number, because the mean of its divisors is an integer number (6576037650000).

Almost surely, 2131051403543135 is an apocalyptic number.

131051403543135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131051403543135 is a deficient number, since it is larger than the sum of its proper divisors (79381801256865).

131051403543135 is a wasteful number, since it uses less digits than its factorization.

131051403543135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24854015.

The product of its (nonzero) digits is 162000, while the sum is 39.

Adding to 131051403543135 its reverse (531345304150131), we get a palindrome (662396707693266).

The spelling of 131051403543135 in words is "one hundred thirty-one trillion, fifty-one billion, four hundred three million, five hundred forty-three thousand, one hundred thirty-five".

Divisors: 1 3 5 15 419 839 1257 2095 2517 4195 6285 12585 351541 1054623 1757705 5273115 24852749 74558247 124263745 372791235 10413301831 20851456411 31239905493 52066509155 62554369233 104257282055 156199527465 312771846165 8736760236209 26210280708627 43683801181045 131051403543135