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137393021041 = 3710143185303
BaseRepresentation
bin111111111110101000…
…0110010000001110001
3111010122011012121220221
41333331100302001301
54222340103133131
6143041213133041
712632504260363
oct1777520620161
9433564177827
10137393021041
11532a4862281
122276478a181
13cc577475b3
1469152d0d33
153891e13411
hex1ffd432071

137393021041 has 16 divisors (see below), whose sum is σ = 142835747328. Its totient is φ = 132047496000.

The previous prime is 137393021033. The next prime is 137393021057. The reversal of 137393021041 is 140120393731.

It is a cyclic number.

It is not a de Polignac number, because 137393021041 - 23 = 137393021033 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 137393020988 and 137393021006.

It is not an unprimeable number, because it can be changed into a prime (137393021071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1567996 + ... + 1653298.

It is an arithmetic number, because the mean of its divisors is an integer number (8927234208).

Almost surely, 2137393021041 is an apocalyptic number.

It is an amenable number.

137393021041 is a deficient number, since it is larger than the sum of its proper divisors (5442726287).

137393021041 is a wasteful number, since it uses less digits than its factorization.

With its successor (137393021042) it forms an eRAP, since the sums of their prime factors are consecutive (85872 and 85873).

137393021041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85872.

The product of its (nonzero) digits is 13608, while the sum is 34.

The spelling of 137393021041 in words is "one hundred thirty-seven billion, three hundred ninety-three million, twenty-one thousand, forty-one".

Divisors: 1 37 101 431 3737 15947 43531 85303 1610647 3156211 8615603 36765593 318777311 1360326941 3713324893 137393021041