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137778314103 = 32373307125113
BaseRepresentation
bin1000000001010000111…
…0100011101101110111
3111011122000012112122100
42000110032203231313
54224132222022403
6143143335233143
712645163226643
oct2002416435567
9434560175570
10137778314103
11534822a26a1
12228518187b3
13ccb9509a61
146950547c23
1538b5b6e2a3
hex20143a3b77

137778314103 has 24 divisors (see below), whose sum is σ = 204455293328. Its totient is φ = 89341978752.

The previous prime is 137778314101. The next prime is 137778314119. The reversal of 137778314103 is 301413877731.

137778314103 is a `hidden beast` number, since 137 + 7 + 78 + 31 + 410 + 3 = 666.

It is not a de Polignac number, because 137778314103 - 21 = 137778314101 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 (137778314101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1038675 + ... + 1163787.

Almost surely, 2137778314103 is an apocalyptic number.

137778314103 is a deficient number, since it is larger than the sum of its proper divisors (66676979225).

137778314103 is a wasteful number, since it uses less digits than its factorization.

137778314103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128463 (or 128460 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 137778314103 in words is "one hundred thirty-seven billion, seven hundred seventy-eight million, three hundred fourteen thousand, one hundred three".

Divisors: 1 3 9 37 111 333 3307 9921 29763 122359 125113 367077 375339 1101231 1126017 4629181 13887543 41662629 413748691 1241246073 3723738219 15308701567 45926104701 137778314103