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103813425 = 3252461393
BaseRepresentation
bin1100011000000…
…01000100110001
321020100021020200
412030001010301
5203034012200
614145025413
72400254022
oct614010461
9236307220
10103813425
1153666621
122a925269
131867a481
14db04c49
1591a9800
hex6301131

103813425 has 18 divisors (see below), whose sum is σ = 185941782. Its totient is φ = 55367040.

The previous prime is 103813393. The next prime is 103813429. The reversal of 103813425 is 524318301.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 24532209 + 79281216 = 4953^2 + 8904^2 .

It is not a de Polignac number, because 103813425 - 25 = 103813393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (103813429) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 230472 + ... + 230921.

It is an arithmetic number, because the mean of its divisors is an integer number (10330099).

Almost surely, 2103813425 is an apocalyptic number.

103813425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

103813425 is a deficient number, since it is larger than the sum of its proper divisors (82128357).

103813425 is a wasteful number, since it uses less digits than its factorization.

103813425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461409 (or 461401 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 103813425 is about 10188.8873288500. The cubic root of 103813425 is about 469.9855510874.

The spelling of 103813425 in words is "one hundred three million, eight hundred thirteen thousand, four hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 461393 1384179 2306965 4152537 6920895 11534825 20762685 34604475 103813425