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125314112 = 2671159431
BaseRepresentation
bin1110111100000…
…10010001000000
322201210121122102
413132002101000
5224040022422
620233525532
73051103160
oct736022100
9281717572
10125314112
1164811390
1235b738a8
131cc67981
14129005a0
15b005192
hex7782440

125314112 has 112 divisors (see below), whose sum is σ = 316016640. Its totient is φ = 47884800.

The previous prime is 125314099. The next prime is 125314201. The reversal of 125314112 is 211413521.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 290537 + ... + 290967.

Almost surely, 2125314112 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 125314112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158008320).

125314112 is an abundant number, since it is smaller than the sum of its proper divisors (190702528).

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

125314112 is a wasteful number, since it uses less digits than its factorization.

125314112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 510 counting only the distinct ones).

The product of its digits is 240, while the sum is 20.

The square root of 125314112 is about 11194.3785892742. The cubic root of 125314112 is about 500.4184656753.

Adding to 125314112 its reverse (211413521), we get a palindrome (336727633).

The spelling of 125314112 in words is "one hundred twenty-five million, three hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 59 64 77 88 112 118 154 176 224 236 308 352 413 431 448 472 616 649 704 826 862 944 1232 1298 1652 1724 1888 2464 2596 3017 3304 3448 3776 4543 4741 4928 5192 6034 6608 6896 9086 9482 10384 12068 13216 13792 18172 18964 20768 24136 25429 26432 27584 33187 36344 37928 41536 48272 50858 66374 72688 75856 96544 101716 132748 145376 151712 178003 193088 203432 265496 279719 290752 303424 356006 406864 530992 559438 712012 813728 1061984 1118876 1424024 1627456 1958033 2123968 2237752 2848048 3916066 4475504 5696096 7832132 8951008 11392192 15664264 17902016 31328528 62657056 125314112