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107012262 = 23729103853
BaseRepresentation
bin1100110000011…
…10000010100110
321110100210020010
412120032002212
5204343343022
614341351050
72436406050
oct630160246
9243323203
10107012262
1155450995
122ba08486
131922a486
14102d88d0
1595dc50c
hex660e0a6

107012262 has 64 divisors (see below), whose sum is σ = 255790080. Its totient is φ = 29199744.

The previous prime is 107012249. The next prime is 107012267. The reversal of 107012262 is 262210701.

It is a super-2 number, since 2×1070122622 = 22903248436713288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107012267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125028 + ... + 125880.

It is an arithmetic number, because the mean of its divisors is an integer number (3996720).

Almost surely, 2107012262 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107012262, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127895040).

107012262 is an abundant number, since it is smaller than the sum of its proper divisors (148777818).

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

107012262 is a wasteful number, since it uses less digits than its factorization.

107012262 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997.

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 107012262 is about 10344.6731219503. The cubic root of 107012262 is about 474.7640741587.

Adding to 107012262 its reverse (262210701), we get a palindrome (369222963).

The spelling of 107012262 in words is "one hundred seven million, twelve thousand, two hundred sixty-two".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 103 174 203 206 309 406 609 618 721 853 1218 1442 1706 2163 2559 2987 4326 5118 5971 5974 8961 11942 17913 17922 20909 24737 35826 41818 49474 62727 74211 87859 125454 148422 173159 175718 263577 346318 519477 527154 615013 1038954 1230026 1845039 2547911 3690078 5095822 7643733 15287466 17835377 35670754 53506131 107012262