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12707552100 = 2235258772161
BaseRepresentation
bin10111101010110110…
…11101101101100100
31012210121111112100210
423311123131231210
5202011113131400
65500542535420
7626622260565
oct136533355544
935717445323
1012707552100
115431099a81
122567897570
1312769194c9
148879a016c
154e5935950
hex2f56ddb64

12707552100 has 72 divisors (see below), whose sum is σ = 36830330208. Its totient is φ = 3382860800.

The previous prime is 12707552093. The next prime is 12707552111. The reversal of 12707552100 is 125570721.

It is a super-2 number, since 2×127075521002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140020 + ... + 212180.

It is an arithmetic number, because the mean of its divisors is an integer number (511532364).

Almost surely, 212707552100 is an apocalyptic number.

12707552100 is a gapful number since it is divisible by the number (10) 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 12707552100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18415165104).

12707552100 is an abundant number, since it is smaller than the sum of its proper divisors (24122778108).

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

12707552100 is a wasteful number, since it uses less digits than its factorization.

12707552100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72765 (or 72758 counting only the distinct ones).

The product of its (nonzero) digits is 4900, while the sum is 30.

The spelling of 12707552100 in words is "twelve billion, seven hundred seven million, five hundred fifty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 587 1174 1761 2348 2935 3522 5870 7044 8805 11740 14675 17610 29350 35220 44025 58700 72161 88050 144322 176100 216483 288644 360805 432966 721610 865932 1082415 1443220 1804025 2164830 3608050 4329660 5412075 7216100 10824150 21648300 42358507 84717014 127075521 169434028 211792535 254151042 423585070 508302084 635377605 847170140 1058962675 1270755210 2117925350 2541510420 3176888025 4235850700 6353776050 12707552100