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123066401 = 19291491499
BaseRepresentation
bin1110101010111…
…01100000100001
322120120102100212
413111131200201
5223001111101
620113423505
73023022113
oct725354041
9276512325
10123066401
1163516677
123526ab95
131c65b873
14124b73b3
15ac0e1bb
hex755d821

123066401 has 16 divisors (see below), whose sum is σ = 135000000. Its totient is φ = 111738816.

The previous prime is 123066397. The next prime is 123066413. The reversal of 123066401 is 104660321.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 123066401 - 22 = 123066397 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123066421) 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 15 ways as a sum of consecutive naturals, for example, 81350 + ... + 82848.

It is an arithmetic number, because the mean of its divisors is an integer number (8437500).

Almost surely, 2123066401 is an apocalyptic number.

It is an amenable number.

123066401 is a deficient number, since it is larger than the sum of its proper divisors (11933599).

123066401 is a wasteful number, since it uses less digits than its factorization.

123066401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1696.

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 123066401 is about 11093.5296907702. The cubic root of 123066401 is about 497.4084590376.

The spelling of 123066401 in words is "one hundred twenty-three million, sixty-six thousand, four hundred one".

Divisors: 1 19 29 149 551 1499 2831 4321 28481 43471 82099 223351 825949 4243669 6477179 123066401