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103042000431 = 3217769875783
BaseRepresentation
bin101111111110111001…
…0000010011000101111
3100211222011200222100100
41133331302002120233
53142012223003211
6115200431402143
710305322360266
oct1377562023057
9324864628310
10103042000431
113a777583047
1217b78683353
139941b0b1b6
144db707b5dd
152a31328156
hex17fdc8262f

103042000431 has 24 divisors (see below), whose sum is σ = 157798761120. Its totient is φ = 64569655296.

The previous prime is 103042000423. The next prime is 103042000493. The reversal of 103042000431 is 134000240301.

103042000431 is a `hidden beast` number, since 1 + 0 + 30 + 4 + 200 + 0 + 431 = 666.

It is not a de Polignac number, because 103042000431 - 23 = 103042000423 is a prime.

It is a super-2 number, since 2×1030420004312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103042001431) 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, 320235 + ... + 555548.

It is an arithmetic number, because the mean of its divisors is an integer number (6574948380).

Almost surely, 2103042000431 is an apocalyptic number.

103042000431 is a deficient number, since it is larger than the sum of its proper divisors (54756760689).

103042000431 is a wasteful number, since it uses less digits than its factorization.

103042000431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876575 (or 876572 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 103042000431 its reverse (134000240301), we get a palindrome (237042240732).

The spelling of 103042000431 in words is "one hundred three billion, forty-two million, four hundred thirty-one", and thus it is an aban number.

Divisors: 1 3 9 17 51 153 769 2307 6921 13073 39219 117657 875783 2627349 7882047 14888311 44664933 133994799 673477127 2020431381 6061294143 11449111159 34347333477 103042000431