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123114132 = 22323419837
BaseRepresentation
bin1110101011010…
…01001010010100
322120122211211200
413111221022110
5223004123012
620114432500
73023311221
oct725511224
9276584750
10123114132
1163549519
1235292730
131c6774cb
14124ca948
15ac1d3dc
hex7569294

123114132 has 18 divisors (see below), whose sum is σ = 311205258. Its totient is φ = 41038032.

The previous prime is 123114097. The next prime is 123114139. The reversal of 123114132 is 231411321.

It can be written as a sum of positive squares in only one way, i.e., 90897156 + 32216976 = 9534^2 + 5676^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×1231141322 = 30314178996226848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123114139) 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 5 ways as a sum of consecutive naturals, for example, 1709883 + ... + 1709954.

It is an arithmetic number, because the mean of its divisors is an integer number (17289181).

Almost surely, 2123114132 is an apocalyptic number.

123114132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123114132 is an abundant number, since it is smaller than the sum of its proper divisors (188091126).

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

123114132 is a wasteful number, since it uses less digits than its factorization.

123114132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3419847 (or 3419842 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 123114132 is about 11095.6807812770. The cubic root of 123114132 is about 497.4727569402.

Adding to 123114132 its reverse (231411321), we get a palindrome (354525453).

The spelling of 123114132 in words is "one hundred twenty-three million, one hundred fourteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 3419837 6839674 10259511 13679348 20519022 30778533 41038044 61557066 123114132