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12135681700 = 2252121356817
BaseRepresentation
bin10110100110101011…
…11100111010100100
31011022202102111122121
423103111330322210
5144323213303300
65324113435324
7606506410132
oct132325747244
934282374577
1012135681700
11516830430a
12242826bb44
1311b52bc45c
14831a5a752
154b062281a
hex2d357cea4

12135681700 has 18 divisors (see below), whose sum is σ = 26334429506. Its totient is φ = 4854272640.

The previous prime is 12135681697. The next prime is 12135681709. The reversal of 12135681700 is 718653121.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 573410916 + 11562270784 = 23946^2 + 107528^2 .

It is not an unprimeable number, because it can be changed into a prime (12135681709) 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 5 ways as a sum of consecutive naturals, for example, 60678309 + ... + 60678508.

Almost surely, 212135681700 is an apocalyptic number.

12135681700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12135681700 is an abundant number, since it is smaller than the sum of its proper divisors (14198747806).

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

12135681700 is a wasteful number, since it uses less digits than its factorization.

12135681700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121356831 (or 121356824 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The spelling of 12135681700 in words is "twelve billion, one hundred thirty-five million, six hundred eighty-one thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 100 121356817 242713634 485427268 606784085 1213568170 2427136340 3033920425 6067840850 12135681700