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123114105 = 3252735869
BaseRepresentation
bin1110101011010…
…01001001111001
322120122211210200
413111221021321
5223004122410
620114432413
73023311152
oct725511171
9276584720
10123114105
11635494a4
1235292709
131c6774aa
14124ca929
15ac1d3c0
hex7569279

123114105 has 12 divisors (see below), whose sum is σ = 213397860. Its totient is φ = 65660832.

The previous prime is 123114097. The next prime is 123114139. The reversal of 123114105 is 501411321.

It can be written as a sum of positive squares in 2 ways, for example, as 68161536 + 54952569 = 8256^2 + 7413^2 .

It is not a de Polignac number, because 123114105 - 23 = 123114097 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1367890 + ... + 1367979.

It is an arithmetic number, because the mean of its divisors is an integer number (17783155).

Almost surely, 2123114105 is an apocalyptic number.

123114105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

123114105 is a deficient number, since it is larger than the sum of its proper divisors (90283755).

123114105 is a wasteful number, since it uses less digits than its factorization.

123114105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2735880 (or 2735877 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 123114105 is about 11095.6795645873. The cubic root of 123114105 is about 497.4727205735.

Adding to 123114105 its reverse (501411321), we get a palindrome (624525426).

The spelling of 123114105 in words is "one hundred twenty-three million, one hundred fourteen thousand, one hundred five".

Divisors: 1 3 5 9 15 45 2735869 8207607 13679345 24622821 41038035 123114105