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103416131 = 713891132
BaseRepresentation
bin1100010101000…
…00000101000011
321012121002021002
412022200011003
5202433304011
614132322215
72364010520
oct612400503
9235532232
10103416131
1153415085
122a77336b
131856b6a0
14da40147
15912bc3b
hex62a0143

103416131 has 24 divisors (see below), whose sum is σ = 129860640. Its totient is φ = 80188416.

The previous prime is 103416109. The next prime is 103416133. The reversal of 103416131 is 131614301.

It is a de Polignac number, because none of the positive numbers 2k-103416131 is a prime.

It is a super-2 number, since 2×1034161312 = 21389792302018322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103416133) 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, 915131 + ... + 915243.

It is an arithmetic number, because the mean of its divisors is an integer number (5410860).

Almost surely, 2103416131 is an apocalyptic number.

103416131 is a deficient number, since it is larger than the sum of its proper divisors (26444509).

103416131 is an equidigital number, since it uses as much as digits as its factorization.

103416131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 103416131 is about 10169.3722028452. The cubic root of 103416131 is about 469.3852397023.

The spelling of 103416131 in words is "one hundred three million, four hundred sixteen thousand, one hundred thirty-one".

Divisors: 1 7 13 89 91 113 623 791 1157 1469 8099 10057 10283 12769 70399 89383 130741 165997 915187 1136441 1161979 7955087 14773733 103416131