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125503112 = 23721737509
BaseRepresentation
bin1110111101100…
…00011010001000
322202011012220102
413132300122020
5224112044422
620241544532
73052521200
oct736603210
9282135812
10125503112
1164930389
1236045148
13200029c7
141294d400
15b041192
hex77b0688

125503112 has 96 divisors (see below), whose sum is σ = 298258200. Its totient is φ = 49158144.

The previous prime is 125503093. The next prime is 125503121. The reversal of 125503112 is 211305521.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 122633476 + 2869636 = 11074^2 + 1694^2 .

It is a super-2 number, since 2×1255031122 = 31502062243369088, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 246314 + ... + 246822.

Almost surely, 2125503112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125503112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149129100).

125503112 is an abundant number, since it is smaller than the sum of its proper divisors (172755088).

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

125503112 is a wasteful number, since it uses less digits than its factorization.

125503112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 125503112 is about 11202.8171457005. The cubic root of 125503112 is about 500.6699180188.

Adding to 125503112 its reverse (211305521), we get a palindrome (336808633).

The spelling of 125503112 in words is "one hundred twenty-five million, five hundred three thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 17 28 34 37 49 56 68 74 98 119 136 148 196 238 259 296 392 476 509 518 629 833 952 1018 1036 1258 1666 1813 2036 2072 2516 3332 3563 3626 4072 4403 5032 6664 7126 7252 8653 8806 14252 14504 17306 17612 18833 24941 28504 30821 34612 35224 37666 49882 60571 61642 69224 75332 99764 121142 123284 131831 150664 199528 242284 246568 263662 320161 423997 484568 527324 640322 847994 922817 1054648 1280644 1695988 1845634 2241127 2561288 3391976 3691268 4482254 7382536 8964508 15687889 17929016 31375778 62751556 125503112