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12726222100 = 2252177486013
BaseRepresentation
bin10111101101000101…
…01011110100010100
31012211220122001210021
423312202223310110
5202030403101400
65502451034524
7630240050224
oct136642536424
935756561707
1012726222100
115440691029
122571b9ba44
13127a755447
1488a260084
154e73c271a
hex2f68abd14

12726222100 has 36 divisors (see below), whose sum is σ = 29240370684. Its totient is φ = 4791047680.

The previous prime is 12726222031. The next prime is 12726222133. The reversal of 12726222100 is 122262721.

It can be written as a sum of positive squares in 6 ways, for example, as 1090716676 + 11635505424 = 33026^2 + 107868^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3741307 + ... + 3744706.

It is an arithmetic number, because the mean of its divisors is an integer number (812232519).

Almost surely, 212726222100 is an apocalyptic number.

12726222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12726222100 is an abundant number, since it is smaller than the sum of its proper divisors (16514148584).

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

12726222100 is a wasteful number, since it uses less digits than its factorization.

12726222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7486044 (or 7486037 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

Adding to 12726222100 its reverse (122262721), we get a palindrome (12848484821).

The spelling of 12726222100 in words is "twelve billion, seven hundred twenty-six million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 7486013 14972026 29944052 37430065 74860130 127262221 149720260 187150325 254524442 374300650 509048884 636311105 748601300 1272622210 2545244420 3181555525 6363111050 12726222100