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10013111220 = 2235788127061
BaseRepresentation
bin10010101001101001…
…11111001110110100
3221211211102202100010
421110310333032310
5131001324024340
64333331420220
7503064020040
oct112464771664
927754382303
1010013111220
11427915a732
121b35454670
13c3762b1a8
146adbb7020
153d90ecb80
hex254d3f3b4

10013111220 has 96 divisors (see below), whose sum is σ = 32079511296. Its totient is φ = 2286028800.

The previous prime is 10013111219. The next prime is 10013111233. The reversal of 10013111220 is 2211131001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10013111196 and 10013111205.

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 31 ways as a sum of consecutive naturals, for example, 356490 + ... + 383550.

It is an arithmetic number, because the mean of its divisors is an integer number (334161576).

Almost surely, 210013111220 is an apocalyptic number.

10013111220 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 10013111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16039755648).

10013111220 is an abundant number, since it is smaller than the sum of its proper divisors (22066400076).

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

10013111220 is a wasteful number, since it uses less digits than its factorization.

10013111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27961 (or 27959 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 10013111220 its reverse (2211131001), we get a palindrome (12224242221).

The spelling of 10013111220 in words is "ten billion, thirteen million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 881 1762 2643 3524 4405 5286 6167 8810 10572 12334 13215 17620 18501 24668 26430 27061 30835 37002 52860 54122 61670 74004 81183 92505 108244 123340 135305 162366 185010 189427 270610 324732 370020 378854 405915 541220 568281 757708 811830 947135 1136562 1623660 1894270 2273124 2841405 3788540 5682810 11365620 23840741 47681482 71522223 95362964 119203705 143044446 166885187 238407410 286088892 333770374 357611115 476814820 500655561 667540748 715222230 834425935 1001311122 1430444460 1668851870 2002622244 2503277805 3337703740 5006555610 10013111220