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125311216 = 2417736311
BaseRepresentation
bin1110111100000…
…01100011110000
322201210110200011
413132001203300
5224034424331
620233504304
73051061552
oct736014360
9281713604
10125311216
116480a198
1235b72094
131cc66564
14128dd4d2
15b0043b1
hex77818f0

125311216 has 40 divisors (see below), whose sum is σ = 260635104. Its totient is φ = 58152960.

The previous prime is 125311201. The next prime is 125311223. The reversal of 125311216 is 612113521.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 16701 + ... + 23011.

Almost surely, 2125311216 is an apocalyptic number.

125311216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125311216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130317552).

125311216 is an abundant number, since it is smaller than the sum of its proper divisors (135323888).

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

125311216 is a wasteful number, since it uses less digits than its factorization.

125311216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6409 (or 6403 counting only the distinct ones).

The product of its digits is 360, while the sum is 22.

The square root of 125311216 is about 11194.2492378900. The cubic root of 125311216 is about 500.4146107675.

Adding to 125311216 its reverse (612113521), we get a palindrome (737424737).

The spelling of 125311216 in words is "one hundred twenty-five million, three hundred eleven thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 17 34 68 73 136 146 272 292 584 1168 1241 2482 4964 6311 9928 12622 19856 25244 50488 100976 107287 214574 429148 460703 858296 921406 1716592 1842812 3685624 7371248 7831951 15663902 31327804 62655608 125311216