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131154101451131 = 1121083918193811
BaseRepresentation
bin11101110100100010110001…
…101000001011100101111011
3122012101012122211111112100212
4131310202301220023211323
5114142312044432414011
61142535210141221335
736424366620163313
oct3564426150134573
9565335584445325
10131154101451131
11388761620a8200
121286266326184b
135824a17a52a25
142455c6c998443
151026944a0408b
hex7748b1a0b97b

131154101451131 has 6 divisors (see below), whose sum is σ = 144161119776996. Its totient is φ = 119231001319100.

The previous prime is 131154101451097. The next prime is 131154101451157.

131154101451131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 131154101451131 - 238 = 130879223544187 is a prime.

It is a super-2 number, since 2×1311541014511312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131154101451631) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 541959096785 + ... + 541959097026.

It is an arithmetic number, because the mean of its divisors is an integer number (24026853296166).

Almost surely, 2131154101451131 is an apocalyptic number.

131154101451131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131154101451131 is a deficient number, since it is larger than the sum of its proper divisors (13007018325865).

131154101451131 is a wasteful number, since it uses less digits than its factorization.

131154101451131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083918193833 (or 1083918193822 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 32.

It can be divided in two parts, 13115410 and 1451131, that added together give a palindrome (14566541).

The spelling of 131154101451131 in words is "one hundred thirty-one trillion, one hundred fifty-four billion, one hundred one million, four hundred fifty-one thousand, one hundred thirty-one".

Divisors: 1 11 121 1083918193811 11923100131921 131154101451131