Search a number
-
+
12240642100 = 2252278943889
BaseRepresentation
bin10110110011001100…
…10110000000110100
31011121001221001020211
423121212112000310
5200032101021400
65342343235204
7612222512131
oct133146260064
934531831224
1012240642100
115211583645
122457448b04
131200c7b9bb
1484197d588
154b9956dba
hex2d9996034

12240642100 has 36 divisors (see below), whose sum is σ = 26572322700. Its totient is φ = 4894389760.

The previous prime is 12240642097. The next prime is 12240642133. The reversal of 12240642100 is 124604221.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 464919844 + 11775722256 = 21562^2 + 108516^2 .

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, 256956 + ... + 300844.

It is an arithmetic number, because the mean of its divisors is an integer number (738120075).

Almost surely, 212240642100 is an apocalyptic number.

12240642100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12240642100 is an abundant number, since it is smaller than the sum of its proper divisors (14331680600).

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

12240642100 is a wasteful number, since it uses less digits than its factorization.

12240642100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46692 (or 46685 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The spelling of 12240642100 in words is "twelve billion, two hundred forty million, six hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2789 5578 11156 13945 27890 43889 55780 69725 87778 139450 175556 219445 278900 438890 877780 1097225 2194450 4388900 122406421 244812842 489625684 612032105 1224064210 2448128420 3060160525 6120321050 12240642100