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10022112200 = 2352107468323
BaseRepresentation
bin10010101010101110…
…10100101111001000
3221212110101001100202
421111113110233020
5131011130042300
64334252351332
7503233356002
oct112527245710
927773331322
1010022112200
114283248261
121b38475548
13c39460109
146b107b372
153d9cc9ad5
hex2555d4bc8

10022112200 has 48 divisors (see below), whose sum is σ = 23519231280. Its totient is φ = 3971370560.

The previous prime is 10022112197. The next prime is 10022112203. The reversal of 10022112200 is 221122001.

It is a happy number.

10022112200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10022112197) and next prime (10022112203).

It is not an unprimeable number, because it can be changed into a prime (10022112203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 212762 + ... + 255561.

It is an arithmetic number, because the mean of its divisors is an integer number (489983985).

Almost surely, 210022112200 is an apocalyptic number.

10022112200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022112200 is an abundant number, since it is smaller than the sum of its proper divisors (13497119080).

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

10022112200 is a wasteful number, since it uses less digits than its factorization.

10022112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468446 (or 468437 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10022112200 its reverse (221122001), we get a palindrome (10243234201).

The spelling of 10022112200 in words is "ten billion, twenty-two million, one hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 107 200 214 428 535 856 1070 2140 2675 4280 5350 10700 21400 468323 936646 1873292 2341615 3746584 4683230 9366460 11708075 18732920 23416150 46832300 50110561 93664600 100221122 200442244 250552805 400884488 501105610 1002211220 1252764025 2004422440 2505528050 5011056100 10022112200