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12010614100 = 2252233515477
BaseRepresentation
bin10110010111110001…
…10110110101010100
31011000001002102011021
423023320312311110
5144044204122400
65303445050524
7603430351432
oct131370666524
934001072137
1012010614100
115103751161
1223b23b6a44
13119540ca64
1481d1c1d52
154a466a71a
hex2cbe36d54

12010614100 has 36 divisors (see below), whose sum is σ = 26174941884. Its totient is φ = 4783617280.

The previous prime is 12010614061. The next prime is 12010614113. The reversal of 12010614100 is 141601021.

It can be written as a sum of positive squares in 6 ways, for example, as 4596026436 + 7414587664 = 67794^2 + 86108^2 .

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 234439 + ... + 281038.

It is an arithmetic number, because the mean of its divisors is an integer number (727081719).

Almost surely, 212010614100 is an apocalyptic number.

12010614100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12010614100 is an abundant number, since it is smaller than the sum of its proper divisors (14164327784).

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

12010614100 is a wasteful number, since it uses less digits than its factorization.

12010614100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515724 (or 515717 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The spelling of 12010614100 in words is "twelve billion, ten million, six hundred fourteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 233 466 932 1165 2330 4660 5825 11650 23300 515477 1030954 2061908 2577385 5154770 10309540 12886925 25773850 51547700 120106141 240212282 480424564 600530705 1201061410 2402122820 3002653525 6005307050 12010614100