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103933137 = 3711716337
BaseRepresentation
bin1100011000111…
…10010011010001
321020120100110110
412030132103101
5203101330022
614151351533
72401263030
oct614362321
9236510413
10103933137
1153738560
122a9825a9
13186bcac9
14db36717
1591d000c
hex631e4d1

103933137 has 32 divisors (see below), whose sum is σ = 175233024. Its totient is φ = 53222400.

The previous prime is 103933103. The next prime is 103933139. The reversal of 103933137 is 731339301.

It is not a de Polignac number, because 103933137 - 210 = 103932113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (103933139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13233 + ... + 19569.

It is an arithmetic number, because the mean of its divisors is an integer number (5476032).

Almost surely, 2103933137 is an apocalyptic number.

It is an amenable number.

103933137 is a deficient number, since it is larger than the sum of its proper divisors (71299887).

103933137 is a wasteful number, since it uses less digits than its factorization.

103933137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6429.

The product of its (nonzero) digits is 5103, while the sum is 30.

The square root of 103933137 is about 10194.7602718259. The cubic root of 103933137 is about 470.1661356239.

It can be divided in two parts, 10393 and 3137, that added together give a triangular number (13530 = T164).

The spelling of 103933137 in words is "one hundred three million, nine hundred thirty-three thousand, one hundred thirty-seven".

Divisors: 1 3 7 11 21 33 71 77 213 231 497 781 1491 2343 5467 6337 16401 19011 44359 69707 133077 209121 449927 487949 1349781 1463847 3149489 4949197 9448467 14847591 34644379 103933137