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125190401 = 773409599
BaseRepresentation
bin1110111011001…
…00000100000001
322201120022221112
413131210010001
5224022043101
620231133105
73050046410
oct735440401
9281508845
10125190401
1164737446
1235b14195
131cc2357b
14128ab477
15aecd6bb
hex7764101

125190401 has 16 divisors (see below), whose sum is σ = 145632000. Its totient is φ = 105401088.

The previous prime is 125190379. The next prime is 125190413. The reversal of 125190401 is 104091521.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-125190401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (125190421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 208700 + ... + 209298.

It is an arithmetic number, because the mean of its divisors is an integer number (9102000).

Almost surely, 2125190401 is an apocalyptic number.

It is an amenable number.

125190401 is a deficient number, since it is larger than the sum of its proper divisors (20441599).

125190401 is an equidigital number, since it uses as much as digits as its factorization.

125190401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088.

The product of its (nonzero) digits is 360, while the sum is 23.

The square root of 125190401 is about 11188.8516390200. The cubic root of 125190401 is about 500.2537392110.

The spelling of 125190401 in words is "one hundred twenty-five million, one hundred ninety thousand, four hundred one".

Divisors: 1 7 73 409 511 599 2863 4193 29857 43727 208999 244991 306089 1714937 17884343 125190401