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123128993 = 13312771103
BaseRepresentation
bin1110101011011…
…00110010100001
322120200121020002
413111230302201
5223010111433
620115025345
73023402441
oct725546241
9276617202
10123128993
11635596a9
123529b255
131c6811c0
14124d2121
15ac229e8
hex756cca1

123128993 has 16 divisors (see below), whose sum is σ = 137496576. Its totient is φ = 109494720.

The previous prime is 123128989. The next prime is 123129001. The reversal of 123128993 is 399821321.

It is a cyclic number.

It is not a de Polignac number, because 123128993 - 22 = 123128989 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123128963) 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, 111080 + ... + 112182.

It is an arithmetic number, because the mean of its divisors is an integer number (8593536).

Almost surely, 2123128993 is an apocalyptic number.

123128993 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

123128993 is a deficient number, since it is larger than the sum of its proper divisors (14367583).

123128993 is a wasteful number, since it uses less digits than its factorization.

123128993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1424.

The product of its digits is 23328, while the sum is 38.

The square root of 123128993 is about 11096.3504360668. The cubic root of 123128993 is about 497.4927726364.

The spelling of 123128993 in words is "one hundred twenty-three million, one hundred twenty-eight thousand, nine hundred ninety-three".

Divisors: 1 13 31 277 403 1103 3601 8587 14339 34193 111631 305531 444509 3971903 9471461 123128993