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123114150234 = 23315734741849
BaseRepresentation
bin111001010101000101…
…1001101100101011010
3102202210000222211112000
41302222023031211122
54004114210301414
6132320255301430
711615612003415
oct1625213154532
9382700884460
10123114150234
11482378012a9
121ba3a81a876
13b7c042800a
145d5cb84b7c
153308596b09
hex1caa2cd95a

123114150234 has 64 divisors (see below), whose sum is σ = 276129648000. Its totient is φ = 40658177664.

The previous prime is 123114150227. The next prime is 123114150319. The reversal of 123114150234 is 432051411321.

123114150234 is a `hidden beast` number, since 1 + 2 + 3 + 11 + 415 + 0 + 234 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 123114150198 and 123114150207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2920942 + ... + 2962790.

It is an arithmetic number, because the mean of its divisors is an integer number (4314525750).

Almost surely, 2123114150234 is an apocalyptic number.

123114150234 is an abundant number, since it is smaller than the sum of its proper divisors (153015497766).

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

123114150234 is a wasteful number, since it uses less digits than its factorization.

123114150234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42364 (or 42358 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 123114150234 its reverse (432051411321), we get a palindrome (555165561555).

The spelling of 123114150234 in words is "one hundred twenty-three billion, one hundred fourteen million, one hundred fifty thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 157 314 347 471 694 942 1041 1413 2082 2826 3123 4239 6246 8478 9369 18738 41849 54479 83698 108958 125547 163437 251094 326874 376641 490311 753282 980622 1129923 1470933 2259846 2941866 6570293 13140586 14521603 19710879 29043206 39421758 43564809 59132637 87129618 118265274 130694427 177397911 261388854 354795822 392083281 784166562 2279891671 4559783342 6839675013 13679350026 20519025039 41038050078 61557075117 123114150234