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137586131111 = 1113274010829
BaseRepresentation
bin1000000000100011000…
…1011100000010100111
3111011010121120122010202
42000020301130002213
54223234022143421
6143112312141115
712640340550452
oct2001061340247
9434117518122
10137586131111
1153393869780
12227b939779b
13cc8875b800
146932bdc499
1538a3d5b10b
hex2008c5c0a7

137586131111 has 12 divisors (see below), whose sum is σ = 162527782680. Its totient is φ = 115456891680.

The previous prime is 137586131107. The next prime is 137586131117. The reversal of 137586131111 is 111131685731.

It is not a de Polignac number, because 137586131111 - 22 = 137586131107 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137586131117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37003556 + ... + 37007273.

It is an arithmetic number, because the mean of its divisors is an integer number (13543981890).

Almost surely, 2137586131111 is an apocalyptic number.

137586131111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

137586131111 is a deficient number, since it is larger than the sum of its proper divisors (24941651569).

137586131111 is a wasteful number, since it uses less digits than its factorization.

137586131111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74010866 (or 74010853 counting only the distinct ones).

The product of its digits is 15120, while the sum is 38.

The spelling of 137586131111 in words is "one hundred thirty-seven billion, five hundred eighty-six million, one hundred thirty-one thousand, one hundred eleven".

Divisors: 1 11 13 143 169 1859 74010829 814119119 962140777 10583548547 12507830101 137586131111