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131377346433 = 3218180649077
BaseRepresentation
bin111101001011010110…
…0110011011110000001
3110120002220122200201200
41322112230303132001
54123030100041213
6140204240251413
712330440006424
oct1722654633601
9416086580650
10131377346433
11507980a5973
1221566010b69
13c509351118
1465043a19bb
15363dc31273
hex1e96b33781

131377346433 has 12 divisors (see below), whose sum is σ = 190815718548. Its totient is φ = 87101002080.

The previous prime is 131377346423. The next prime is 131377346437. The reversal of 131377346433 is 334643773131.

131377346433 is a `hidden beast` number, since 13 + 137 + 73 + 4 + 6 + 433 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 65952403344 + 65424943089 = 256812^2 + 255783^2 .

It is not a de Polignac number, because 131377346433 - 210 = 131377345409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131377346437) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40322910 + ... + 40326167.

It is an arithmetic number, because the mean of its divisors is an integer number (15901309879).

Almost surely, 2131377346433 is an apocalyptic number.

It is an amenable number.

131377346433 is a deficient number, since it is larger than the sum of its proper divisors (59438372115).

131377346433 is a wasteful number, since it uses less digits than its factorization.

131377346433 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80649264 (or 80649261 counting only the distinct ones).

The product of its digits is 1143072, while the sum is 45.

The spelling of 131377346433 in words is "one hundred thirty-one billion, three hundred seventy-seven million, three hundred forty-six thousand, four hundred thirty-three".

Divisors: 1 3 9 181 543 1629 80649077 241947231 725841693 14597482937 43792448811 131377346433