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125501112 = 233211211751
BaseRepresentation
bin1110111101011…
…11111010111000
322202011010011100
413132233322320
5224112013422
620241531400
73052512312
oct736577270
9282133140
10125501112
1164929930
1236043b60
1320001b19
141294c7b2
15b0407ac
hex77afeb8

125501112 has 96 divisors (see below), whose sum is σ = 373052160. Its totient is φ = 37800000.

The previous prime is 125501111. The next prime is 125501119. The reversal of 125501112 is 211105521.

125501112 is a `hidden beast` number, since 1 + 2 + 550 + 1 + 112 = 666.

It is a super-2 number, since 2×1255011122 = 31501058226473088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125501111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166737 + ... + 167487.

It is an arithmetic number, because the mean of its divisors is an integer number (3885960).

Almost surely, 2125501112 is an apocalyptic number.

125501112 is a gapful number since it is divisible by the number (12) 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 125501112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186526080).

125501112 is an abundant number, since it is smaller than the sum of its proper divisors (247551048).

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

125501112 is a wasteful number, since it uses less digits than its factorization.

125501112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

The square root of 125501112 is about 11202.7278820830. The cubic root of 125501112 is about 500.6672584695.

Adding to 125501112 its reverse (211105521), we get a palindrome (336606633).

The spelling of 125501112 in words is "one hundred twenty-five million, five hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 211 264 396 422 633 751 792 844 1266 1502 1688 1899 2253 2321 2532 3004 3798 4506 4642 5064 6008 6759 6963 7596 8261 9012 9284 13518 13926 15192 16522 18024 18568 20889 24783 27036 27852 33044 41778 49566 54072 55704 66088 74349 83556 99132 148698 158461 167112 198264 297396 316922 475383 594792 633844 950766 1267688 1426149 1743071 1901532 2852298 3486142 3803064 5229213 5704596 6972284 10458426 11409192 13944568 15687639 20916852 31375278 41833704 62750556 125501112