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137000403 = 3410316421
BaseRepresentation
bin10000010101001…
…11010111010011
3100112210100020000
420022213113103
5240033003103
621332221043
73252325041
oct1012472723
9315710200
10137000403
1170373481
1239a6a783
13224c9c37
14142a3391
15c062aa3
hex82a75d3

137000403 has 20 divisors (see below), whose sum is σ = 206654448. Its totient is φ = 90441360.

The previous prime is 137000363. The next prime is 137000407. The reversal of 137000403 is 304000731.

137000403 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 137000403 - 222 = 132806099 is a prime.

It is a super-2 number, since 2×1370004032 = 37538220844324818, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (137000407) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 133 + ... + 16553.

Almost surely, 2137000403 is an apocalyptic number.

137000403 is a deficient number, since it is larger than the sum of its proper divisors (69654045).

137000403 is a wasteful number, since it uses less digits than its factorization.

137000403 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16536 (or 16527 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 137000403 is about 11704.7171260138. The cubic root of 137000403 is about 515.5141790264.

The spelling of 137000403 in words is "one hundred thirty-seven million, four hundred three", and thus it is an aban number.

Divisors: 1 3 9 27 81 103 309 927 2781 8343 16421 49263 147789 443367 1330101 1691363 5074089 15222267 45666801 137000403