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102506123 is a prime number
BaseRepresentation
bin1100001110000…
…01111010001011
321010212211222002
412013001322023
5202220143443
614101021215
72353200446
oct607017213
9233784862
10102506123
1152953405
122a3b480b
1318310415
14d88465d
158eec2b8
hex61c1e8b

102506123 has 2 divisors, whose sum is σ = 102506124. Its totient is φ = 102506122.

The previous prime is 102506113. The next prime is 102506137. The reversal of 102506123 is 321605201.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-102506123 is a prime.

It is a super-2 number, since 2×1025061232 = 21015010504982258, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102506095 and 102506104.

It is not a weakly prime, because it can be changed into another prime (102506113) 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 as a sum of consecutive naturals, namely, 51253061 + 51253062.

It is an arithmetic number, because the mean of its divisors is an integer number (51253062).

Almost surely, 2102506123 is an apocalyptic number.

102506123 is a deficient number, since it is larger than the sum of its proper divisors (1).

102506123 is an equidigital number, since it uses as much as digits as its factorization.

102506123 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 102506123 is about 10124.5307545585. The cubic root of 102506123 is about 468.0043997809.

The spelling of 102506123 in words is "one hundred two million, five hundred six thousand, one hundred twenty-three".