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103825431 = 3217366683
BaseRepresentation
bin1100011000001…
…00000000010111
321020100212201100
412030010000113
5203034403211
614145201143
72400334023
oct614040027
9236325640
10103825431
1153674646
122a9301b3
1318682a88
14db09383
1591ad156
hex6304017

103825431 has 12 divisors (see below), whose sum is σ = 150839208. Its totient is φ = 68815824.

The previous prime is 103825391. The next prime is 103825457. The reversal of 103825431 is 134528301.

It is a happy number.

It is not a de Polignac number, because 103825431 - 221 = 101728279 is a prime.

It is a super-2 number, since 2×1038254312 = 21559440244671522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103825395 and 103825404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103825471) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31785 + ... + 34898.

It is an arithmetic number, because the mean of its divisors is an integer number (12569934).

Almost surely, 2103825431 is an apocalyptic number.

103825431 is a deficient number, since it is larger than the sum of its proper divisors (47013777).

103825431 is a wasteful number, since it uses less digits than its factorization.

103825431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66862 (or 66859 counting only the distinct ones).

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

The square root of 103825431 is about 10189.4764831173. The cubic root of 103825431 is about 470.0036682979.

The spelling of 103825431 in words is "one hundred three million, eight hundred twenty-five thousand, four hundred thirty-one".

Divisors: 1 3 9 173 519 1557 66683 200049 600147 11536159 34608477 103825431