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123020313 = 31317185551
BaseRepresentation
bin1110101010100…
…10010000011001
322120111002010220
413111102100121
5222443122223
620112430253
73022440543
oct725222031
9276432126
10123020313
1163494a89
1235248389
131c6438b0
14124a4693
15ac006e3
hex7552419

123020313 has 16 divisors (see below), whose sum is σ = 187036416. Its totient is φ = 71251200.

The previous prime is 123020311. The next prime is 123020327. The reversal of 123020313 is 313020321.

It is not a de Polignac number, because 123020313 - 21 = 123020311 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 123020292 and 123020301.

It is not an unprimeable number, because it can be changed into a prime (123020311) 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, 92113 + ... + 93438.

It is an arithmetic number, because the mean of its divisors is an integer number (11689776).

Almost surely, 2123020313 is an apocalyptic number.

123020313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

123020313 is a deficient number, since it is larger than the sum of its proper divisors (64016103).

123020313 is a wasteful number, since it uses less digits than its factorization.

123020313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185584.

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 123020313 is about 11091.4522493675. The cubic root of 123020313 is about 497.3463586235.

Adding to 123020313 its reverse (313020321), we get a palindrome (436040634).

The spelling of 123020313 in words is "one hundred twenty-three million, twenty thousand, three hundred thirteen".

Divisors: 1 3 13 17 39 51 221 663 185551 556653 2412163 3154367 7236489 9463101 41006771 123020313