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102117031 is a prime number
BaseRepresentation
bin1100001011000…
…10111010100111
321010011002020021
412011202322213
5202120221111
614044420011
72346660202
oct605427247
9233132207
10102117031
1152708045
122a247607
13182052a3
14d7c2939
158e71d71
hex6162ea7

102117031 has 2 divisors, whose sum is σ = 102117032. Its totient is φ = 102117030.

The previous prime is 102116983. The next prime is 102117053. The reversal of 102117031 is 130711201.

It is a strong prime.

It is an emirp because it is prime and its reverse (130711201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102117031 - 221 = 100019879 is a prime.

It is a super-2 number, since 2×1021170312 = 20855776040509922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102116996 and 102117014.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102117331) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51058515 + 51058516.

It is an arithmetic number, because the mean of its divisors is an integer number (51058516).

Almost surely, 2102117031 is an apocalyptic number.

102117031 is a deficient number, since it is larger than the sum of its proper divisors (1).

102117031 is an equidigital number, since it uses as much as digits as its factorization.

102117031 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 42, while the sum is 16.

The square root of 102117031 is about 10105.2971752443. The cubic root of 102117031 is about 467.4114997335.

Adding to 102117031 its reverse (130711201), we get a palindrome (232828232).

It can be divided in two parts, 1021170 and 31, that added together give a palindrome (1021201).

The spelling of 102117031 in words is "one hundred two million, one hundred seventeen thousand, thirty-one".