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125111196 = 22337732267
BaseRepresentation
bin1110111010100…
…00101110011100
322201102022022000
413131100232130
5224012024241
620225322300
73046266450
oct735205634
9281368260
10125111196
1164692991
1235a96390
131cbc64c2
141288a660
15aeb4eb6
hex7750b9c

125111196 has 96 divisors (see below), whose sum is σ = 375943680. Its totient is φ = 35240832.

The previous prime is 125111179. The next prime is 125111243. The reversal of 125111196 is 691111521.

It is a super-2 number, since 2×1251111962 = 31305622729100832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54055 + ... + 56321.

It is an arithmetic number, because the mean of its divisors is an integer number (3916080).

Almost surely, 2125111196 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 125111196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187971840).

125111196 is an abundant number, since it is smaller than the sum of its proper divisors (250832484).

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

125111196 is a wasteful number, since it uses less digits than its factorization.

125111196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2360 (or 2352 counting only the distinct ones).

The product of its digits is 540, while the sum is 27.

The square root of 125111196 is about 11185.3116183681. The cubic root of 125111196 is about 500.1482173922.

The spelling of 125111196 in words is "one hundred twenty-five million, one hundred eleven thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 73 84 108 126 146 189 219 252 292 378 438 511 657 756 876 1022 1314 1533 1971 2044 2267 2628 3066 3942 4534 4599 6132 6801 7884 9068 9198 13602 13797 15869 18396 20403 27204 27594 31738 40806 47607 55188 61209 63476 81612 95214 122418 142821 165491 190428 244836 285642 330982 428463 496473 571284 661964 856926 992946 1158437 1489419 1713852 1985892 2316874 2978838 3475311 4468257 4633748 5957676 6950622 8936514 10425933 13901244 17873028 20851866 31277799 41703732 62555598 125111196