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123120114 = 23131983077
BaseRepresentation
bin1110101011010…
…10100111110010
322120200011001020
413111222213302
5223004320424
620114520310
73023334525
oct725524762
9276604036
10123120114
1163552a67
1235296096
131c67a150
14124ccbbc
15ac20079
hex756a9f2

123120114 has 32 divisors (see below), whose sum is σ = 279142080. Its totient is φ = 35888832.

The previous prime is 123120091. The next prime is 123120131. The reversal of 123120114 is 411021321.

It is a junction number, because it is equal to n+sod(n) for n = 123120093 and 123120102.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40057 + ... + 43020.

It is an arithmetic number, because the mean of its divisors is an integer number (8723190).

Almost surely, 2123120114 is an apocalyptic number.

123120114 is an abundant number, since it is smaller than the sum of its proper divisors (156021966).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

123120114 is a wasteful number, since it uses less digits than its factorization.

123120114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83114.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 123120114 is about 11095.9503423546. The cubic root of 123120114 is about 497.4808140543.

Adding to 123120114 its reverse (411021321), we get a palindrome (534141435).

The spelling of 123120114 in words is "one hundred twenty-three million, one hundred twenty thousand, one hundred fourteen".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 247 494 741 1482 83077 166154 249231 498462 1080001 1578463 2160002 3156926 3240003 4735389 6480006 9470778 20520019 41040038 61560057 123120114