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102113123 = 723718933
BaseRepresentation
bin1100001011000…
…01111101100011
321010010212212112
412011201331203
5202120104443
614044345535
72346642620
oct605417543
9233125775
10102113123
1152705112
122a2452ab
1318203588
14d7c1347
158e70b18
hex6161f63

102113123 has 16 divisors (see below), whose sum is σ = 123503616. Its totient is φ = 82531680.

The previous prime is 102113119. The next prime is 102113131. The reversal of 102113123 is 321311201.

It is not a de Polignac number, because 102113123 - 22 = 102113119 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102113098 and 102113107.

It is not an unprimeable number, because it can be changed into a prime (102119123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6965 + ... + 15897.

It is an arithmetic number, because the mean of its divisors is an integer number (7718976).

Almost surely, 2102113123 is an apocalyptic number.

102113123 is a deficient number, since it is larger than the sum of its proper divisors (21390493).

102113123 is an equidigital number, since it uses as much as digits as its factorization.

102113123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9034.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 102113123 is about 10105.1038094618. The cubic root of 102113123 is about 467.4055370734.

Adding to 102113123 its reverse (321311201), we get a palindrome (423424324).

The spelling of 102113123 in words is "one hundred two million, one hundred thirteen thousand, one hundred twenty-three".

Divisors: 1 7 23 71 161 497 1633 8933 11431 62531 205459 634243 1438213 4439701 14587589 102113123