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131115312115505 = 51931301735114207
BaseRepresentation
bin11101110011111110101001…
…100110100110111100110001
3122012020111112112112010011122
4131303332221212212330301
5114141143124400144010
61142505313131152025
736421524443235254
oct3563765146467461
9565214475463148
10131115312115505
113886076757a233
12128570388a5615
135821175759a23
14245402d0d509b
151025924462855
hex773fa99a6f31

131115312115505 has 32 divisors (see below), whose sum is σ = 158307835650048. Its totient is φ = 104247037440000.

The previous prime is 131115312115483. The next prime is 131115312115549. The reversal of 131115312115505 is 505511213511131.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-131115312115505 is a prime.

It is a super-2 number, since 2×1311153121155052 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9228916112 + ... + 9228930318.

It is an arithmetic number, because the mean of its divisors is an integer number (4947119864064).

Almost surely, 2131115312115505 is an apocalyptic number.

It is an amenable number.

131115312115505 is a deficient number, since it is larger than the sum of its proper divisors (27192523534543).

131115312115505 is a wasteful number, since it uses less digits than its factorization.

131115312115505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23057.

The product of its (nonzero) digits is 11250, while the sum is 35.

Adding to 131115312115505 its reverse (505511213511131), we get a palindrome (636626525626636).

The spelling of 131115312115505 in words is "one hundred thirty-one trillion, one hundred fifteen billion, three hundred twelve million, one hundred fifteen thousand, five hundred five".

Divisors: 1 5 193 965 1301 6505 7351 14207 36755 71035 251093 1255465 1418743 2741951 7093715 9563651 13709755 18483307 47818255 92416535 104435657 522178285 1845784643 3567278251 9228923215 17836391255 20156081801 100780409005 135870789757 679353948785 26223062423101 131115312115505