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137093103 = 32737103571
BaseRepresentation
bin10000010101111…
…01111111101111
3100112222001101100
420022331333233
5240043434403
621334214143
73253162230
oct1012757757
9315861340
10137093103
1170427094
1239ab4353
13225301a4
14142c9087
15c0802a3
hex82bdfef

137093103 has 48 divisors (see below), whose sum is σ = 235096576. Its totient is φ = 75349440.

The previous prime is 137093093. The next prime is 137093123. The reversal of 137093103 is 301390731.

It is not a de Polignac number, because 137093103 - 29 = 137092591 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 (137093123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 239808 + ... + 240378.

Almost surely, 2137093103 is an apocalyptic number.

137093103 is a deficient number, since it is larger than the sum of its proper divisors (98003473).

137093103 is a wasteful number, since it uses less digits than its factorization.

137093103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 1701, while the sum is 27.

The square root of 137093103 is about 11708.6763982954. The cubic root of 137093103 is about 515.6304253754.

The spelling of 137093103 in words is "one hundred thirty-seven million, ninety-three thousand, one hundred three".

Divisors: 1 3 7 9 21 37 63 103 111 259 309 333 571 721 777 927 1713 2163 2331 3811 3997 5139 6489 11433 11991 21127 26677 34299 35973 58813 63381 80031 147889 176439 190143 240093 411691 443667 529317 1235073 1331001 2176081 3705219 6528243 15232567 19584729 45697701 137093103