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123134144 = 267274853
BaseRepresentation
bin1110101011011…
…10000011000000
322120200212021212
413111232003000
5223010243034
620115105252
73023423450
oct725560300
9276625255
10123134144
1163562561
12352a2228
131c683653
14124d3d60
15ac242ce
hex756e0c0

123134144 has 28 divisors (see below), whose sum is σ = 279251664. Its totient is φ = 52771584.

The previous prime is 123134083. The next prime is 123134153. The reversal of 123134144 is 441431321.

It is a tau number, because it is divible by the number of its divisors (28).

It is a super-2 number, since 2×1231341442 = 30324034837225472, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 136979 + ... + 137874.

Almost surely, 2123134144 is an apocalyptic number.

123134144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

123134144 is an abundant number, since it is smaller than the sum of its proper divisors (156117520).

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

123134144 is an equidigital number, since it uses as much as digits as its factorization.

123134144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274872 (or 274862 counting only the distinct ones).

The product of its digits is 1152, while the sum is 23.

The square root of 123134144 is about 11096.5825369796. The cubic root of 123134144 is about 497.4997099398.

Adding to 123134144 its reverse (441431321), we get a palindrome (564565465).

The spelling of 123134144 in words is "one hundred twenty-three million, one hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 274853 549706 1099412 1923971 2198824 3847942 4397648 7695884 8795296 15391768 17590592 30783536 61567072 123134144