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131054434137027 = 3331156576384871
BaseRepresentation
bin11101110011000101111100…
…111111100011001111000011
3122012000200101211212101101000
4131303011330333203033003
5114134143440114341102
61142421324220543043
736414241023040452
oct3563057477431703
9565020354771330
10131054434137027
1138837967540a25
12128472889b1a83
1358184c314675b
1424510d5bb8b99
15102405ead301c
hex77317cfe33c3

131054434137027 has 16 divisors (see below), whose sum is σ = 200417772636160. Its totient is φ = 84551247829800.

The previous prime is 131054434137023. The next prime is 131054434137073. The reversal of 131054434137027 is 720731434450131.

131054434137027 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 544 + 3 + 4 + 13 + 70 + 27 = 666.

It is not a de Polignac number, because 131054434137027 - 22 = 131054434137023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131054434137023) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 78288191599 + ... + 78288193272.

It is an arithmetic number, because the mean of its divisors is an integer number (12526110789760).

Almost surely, 2131054434137027 is an apocalyptic number.

131054434137027 is a deficient number, since it is larger than the sum of its proper divisors (69363338499133).

131054434137027 is a wasteful number, since it uses less digits than its factorization.

131054434137027 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156576384911 (or 156576384905 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

Adding to 131054434137027 its reverse (720731434450131), we get a palindrome (851785868587158).

The spelling of 131054434137027 in words is "one hundred thirty-one trillion, fifty-four billion, four hundred thirty-four million, one hundred thirty-seven thousand, twenty-seven".

Divisors: 1 3 9 27 31 93 279 837 156576384871 469729154613 1409187463839 4227562391517 4853867931001 14561603793003 43684811379009 131054434137027