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102005431 = 1178711783
BaseRepresentation
bin1100001010001…
…11101010110111
321002221102010221
412011013222313
5202103133211
614042155211
72346013633
oct605075267
9232842127
10102005431
1152641210
122a1b2b07
1318196558
14d793dc3
158e4dc71
hex6147ab7

102005431 has 8 divisors (see below), whose sum is σ = 111429504. Its totient is φ = 92606520.

The previous prime is 102005413. The next prime is 102005447. The reversal of 102005431 is 134500201.

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

It is a cyclic number.

It is not a de Polignac number, because 102005431 - 25 = 102005399 is a prime.

It is a super-2 number, since 2×1020054312 = 20810215906991522, 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 (102005461) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2766 + ... + 14548.

It is an arithmetic number, because the mean of its divisors is an integer number (13928688).

Almost surely, 2102005431 is an apocalyptic number.

102005431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102005431 is a deficient number, since it is larger than the sum of its proper divisors (9424073).

102005431 is a wasteful number, since it uses less digits than its factorization.

102005431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12581.

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 102005431 is about 10099.7738093484. The cubic root of 102005431 is about 467.2411653084.

Adding to 102005431 its reverse (134500201), we get a palindrome (236505632).

The spelling of 102005431 in words is "one hundred two million, five thousand, four hundred thirty-one".

Divisors: 1 11 787 8657 11783 129613 9273221 102005431