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103131431 = 1330725841
BaseRepresentation
bin1100010010110…
…10100100100111
321012001121201122
412021122210213
5202400201211
614122244155
72361413504
oct611324447
9235047648
10103131431
1153240197
122a65665b
131849bc20
14d9a84ab
1590c26db
hex625a927

103131431 has 8 divisors (see below), whose sum is σ = 111430704. Its totient is φ = 94884480.

The previous prime is 103131397. The next prime is 103131439. The reversal of 103131431 is 134131301.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-103131431 is a prime.

It is a super-2 number, since 2×1031314312 = 21272184120215522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103131439) 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 7 ways as a sum of consecutive naturals, for example, 8930 + ... + 16911.

It is an arithmetic number, because the mean of its divisors is an integer number (13928838).

Almost surely, 2103131431 is an apocalyptic number.

103131431 is a deficient number, since it is larger than the sum of its proper divisors (8299273).

103131431 is a wasteful number, since it uses less digits than its factorization.

103131431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26161.

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 103131431 is about 10155.3646414100. The cubic root of 103131431 is about 468.9541116187.

Adding to 103131431 its reverse (134131301), we get a palindrome (237262732).

The spelling of 103131431 in words is "one hundred three million, one hundred thirty-one thousand, four hundred thirty-one".

Divisors: 1 13 307 3991 25841 335933 7933187 103131431