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137102301 = 36767401
BaseRepresentation
bin10000010110000…
…00001111011101
3100112222112000000
420023000033131
5240044233201
621334324513
73253231110
oct1013001735
9315875000
10137102301
1170432a96
1239ab9739
132253442b
14142cc577
15c082d86
hex82c03dd

137102301 has 56 divisors (see below), whose sum is σ = 239025984. Its totient is φ = 76982400.

The previous prime is 137102299. The next prime is 137102341. The reversal of 137102301 is 103201731.

It is not a de Polignac number, because 137102301 - 21 = 137102299 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137102341) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 341701 + ... + 342101.

Almost surely, 2137102301 is an apocalyptic number.

It is an amenable number.

137102301 is a deficient number, since it is larger than the sum of its proper divisors (101923683).

137102301 is an frugal number, since it uses more digits than its factorization.

137102301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 137102301 is about 11709.0691773514. The cubic root of 137102301 is about 515.6419568638.

The spelling of 137102301 in words is "one hundred thirty-seven million, one hundred two thousand, three hundred one".

Divisors: 1 3 7 9 21 27 63 67 81 189 201 243 401 469 567 603 729 1203 1407 1701 1809 2807 3609 4221 5103 5427 8421 10827 12663 16281 25263 26867 32481 37989 48843 75789 80601 97443 113967 188069 227367 241803 292329 341901 564207 682101 725409 1692621 2046303 2176227 5077863 6528681 15233589 19586043 45700767 137102301