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125352123 = 31329137809
BaseRepresentation
bin1110111100010…
…11100010111011
322201212112210020
413132023202323
5224042231443
620234421523
73051322041
oct736134273
9281775706
10125352123
11648379a6
1235b918a3
131cc7c070
1412910391
15b011583
hex778b8bb

125352123 has 32 divisors (see below), whose sum is σ = 187790400. Its totient is φ = 73844736.

The previous prime is 125352121. The next prime is 125352137. The reversal of 125352123 is 321253521.

It is a happy number.

It is not a de Polignac number, because 125352123 - 21 = 125352121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 125352093 and 125352102.

It is not an unprimeable number, because it can be changed into a prime (125352121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154543 + ... + 155351.

It is an arithmetic number, because the mean of its divisors is an integer number (5868450).

Almost surely, 2125352123 is an apocalyptic number.

125352123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

125352123 is a deficient number, since it is larger than the sum of its proper divisors (62438277).

125352123 is a wasteful number, since it uses less digits than its factorization.

125352123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991.

The product of its digits is 1800, while the sum is 24.

The square root of 125352123 is about 11196.0762323235. The cubic root of 125352123 is about 500.4690571665.

The spelling of 125352123 in words is "one hundred twenty-five million, three hundred fifty-two thousand, one hundred twenty-three".

Divisors: 1 3 13 29 39 87 137 377 411 809 1131 1781 2427 3973 5343 10517 11919 23461 31551 51649 70383 110833 154947 304993 332499 914979 1440829 3214157 4322487 9642471 41784041 125352123