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131141122413021 = 3276913012453137
BaseRepresentation
bin11101110100010110101100…
…000001000101000111011101
3122012022222011022011002012200
4131310112230001011013131
5114142104004314204041
61142525222215322113
736423430160162130
oct3564265401050735
9565288138132180
10131141122413021
113887070183a826
1212860040680339
135823729b10216
14245539ad28217
1510264353431b6
hex7745ac0451dd

131141122413021 has 24 divisors (see below), whose sum is σ = 216800227435584. Its totient is φ = 74829335898240.

The previous prime is 131141122413011. The next prime is 131141122413053. The reversal of 131141122413021 is 120314221141131.

131141122413021 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 4 + 112 + 241 + 302 + 1 = 666.

It is not a de Polignac number, because 131141122413021 - 211 = 131141122410973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131141122413011) 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 23 ways as a sum of consecutive naturals, for example, 1506183036 + ... + 1506270101.

It is an arithmetic number, because the mean of its divisors is an integer number (9033342809816).

Almost surely, 2131141122413021 is an apocalyptic number.

It is an amenable number.

131141122413021 is a deficient number, since it is larger than the sum of its proper divisors (85659105022563).

131141122413021 is a wasteful number, since it uses less digits than its factorization.

131141122413021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3012453841 (or 3012453838 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 131141122413021 its reverse (120314221141131), we get a palindrome (251455343554152).

The spelling of 131141122413021 in words is "one hundred thirty-one trillion, one hundred forty-one billion, one hundred twenty-two million, four hundred thirteen thousand, twenty-one".

Divisors: 1 3 7 9 21 63 691 2073 4837 6219 14511 43533 3012453137 9037359411 21087171959 27112078233 63261515877 189784547631 2081605117667 6244815353001 14571235823669 18734446059003 43713707471007 131141122413021