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10112213100 = 22352113064307
BaseRepresentation
bin10010110101011110…
…00010000001101100
3222002201220122120010
421122233002001230
5131202211304400
64351231453220
7505406251563
oct113257020154
928081818503
1010112213100
11431a098410
121b62687210
13c52018c62
146bd012bda
153e2b76450
hex25abc206c

10112213100 has 72 divisors (see below), whose sum is σ = 31917832128. Its totient is φ = 2451444800.

The previous prime is 10112213099. The next prime is 10112213101. The reversal of 10112213100 is 131221101.

It is an interprime number because it is at equal distance from previous prime (10112213099) and next prime (10112213101).

It is a super-2 number, since 2×101122131002 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10112213101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1528854 + ... + 1535453.

It is an arithmetic number, because the mean of its divisors is an integer number (443303224).

Almost surely, 210112213100 is an apocalyptic number.

10112213100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10112213100 is an abundant number, since it is smaller than the sum of its proper divisors (21805619028).

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

10112213100 is a wasteful number, since it uses less digits than its factorization.

10112213100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3064335 (or 3064328 counting only the distinct ones).

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

Adding to 10112213100 its reverse (131221101), we get a palindrome (10243434201).

The spelling of 10112213100 in words is "ten billion, one hundred twelve million, two hundred thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 3064307 6128614 9192921 12257228 15321535 18385842 30643070 33707377 36771684 45964605 61286140 67414754 76607675 91929210 101122131 134829508 153215350 168536885 183858420 202244262 229823025 306430700 337073770 404488524 459646050 505610655 674147540 842684425 919292100 1011221310 1685368850 2022442620 2528053275 3370737700 5056106550 10112213100