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123083051 = 72132331271
BaseRepresentation
bin1110101011000…
…01100100101011
322120121021012112
413111201210223
5223002124201
620114032535
73023121500
oct725414453
9276537175
10123083051
1163528133
123527874b
131c666310
14124bd4a7
15ac140bb
hex756192b

123083051 has 48 divisors (see below), whose sum is σ = 166699008. Its totient is φ = 89812800.

The previous prime is 123083041. The next prime is 123083123. The reversal of 123083051 is 150380321.

It is not a de Polignac number, because 123083051 - 210 = 123082027 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123083021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 454046 + ... + 454316.

It is an arithmetic number, because the mean of its divisors is an integer number (3472896).

Almost surely, 2123083051 is an apocalyptic number.

123083051 is a deficient number, since it is larger than the sum of its proper divisors (43615957).

123083051 is a wasteful number, since it uses less digits than its factorization.

123083051 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 123083051 is about 11094.2801028278. The cubic root of 123083051 is about 497.4308899565.

The spelling of 123083051 in words is "one hundred twenty-three million, eighty-three thousand, fifty-one".

Divisors: 1 7 13 23 31 49 91 161 217 271 299 403 637 713 1127 1519 1897 2093 2821 3523 4991 6233 8401 9269 13279 14651 19747 24661 34937 43631 58807 64883 81029 109213 172627 193223 305417 411649 454181 567203 764491 1352561 2511899 3970421 5351437 9467927 17583293 123083051