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123408681 = 31113128547
BaseRepresentation
bin1110101101100…
…01000100101001
322121012210212220
413112301010221
5223043034211
620125024253
73025646034
oct726610451
9277183786
10123408681
116372a850
12353b5089
131c74b5b6
141256601b
15ac7a806
hex75b1129

123408681 has 16 divisors (see below), whose sum is σ = 180880128. Its totient is φ = 74219600.

The previous prime is 123408671. The next prime is 123408689. The reversal of 123408681 is 186804321.

It is a cyclic number.

It is not a de Polignac number, because 123408681 - 210 = 123407657 is a prime.

It is a super-2 number, since 2×1234086812 = 30459405092319522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (123408689) 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 in 15 ways as a sum of consecutive naturals, for example, 9951 + ... + 18596.

It is an arithmetic number, because the mean of its divisors is an integer number (11305008).

Almost surely, 2123408681 is an apocalyptic number.

123408681 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123408681 is a deficient number, since it is larger than the sum of its proper divisors (57471447).

123408681 is a wasteful number, since it uses less digits than its factorization.

123408681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28692.

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 123408681 is about 11108.9459896068. The cubic root of 123408681 is about 497.8691733890.

It can be divided in two parts, 123 and 408681, that added together give a palindrome (408804).

The spelling of 123408681 in words is "one hundred twenty-three million, four hundred eight thousand, six hundred eighty-one".

Divisors: 1 3 11 33 131 393 1441 4323 28547 85641 314017 942051 3739657 11218971 41136227 123408681