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22013202100 = 22527112724413
BaseRepresentation
bin10100100000000101…
…101100111010110100
32002211010201112100111
4110200011230322310
5330040334431400
614040203152404
71406336062531
oct244005547264
962733645314
1022013202100
11937697360a
124324215704
1320ca7c5196
1410cb819d88
1588c88a3ba
hex52016ceb4

22013202100 has 72 divisors (see below), whose sum is σ = 48824875008. Its totient is φ = 8612553600.

The previous prime is 22013202073. The next prime is 22013202103. The reversal of 22013202100 is 120231022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22013202103) 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, 889494 + ... + 913906.

It is an arithmetic number, because the mean of its divisors is an integer number (678123264).

Almost surely, 222013202100 is an apocalyptic number.

22013202100 is a gapful number since it is divisible by the number (20) 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 22013202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24412437504).

22013202100 is an abundant number, since it is smaller than the sum of its proper divisors (26811672908).

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

22013202100 is a wasteful number, since it uses less digits than its factorization.

22013202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24625 (or 24618 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 22013202100 its reverse (120231022), we get a palindrome (22133433122).

The spelling of 22013202100 in words is "twenty-two billion, thirteen million, two hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 71 100 127 142 254 284 355 508 635 710 1270 1420 1775 2540 3175 3550 6350 7100 9017 12700 18034 24413 36068 45085 48826 90170 97652 122065 180340 225425 244130 450850 488260 610325 901700 1220650 1733323 2441300 3100451 3466646 6200902 6933292 8666615 12401804 15502255 17333230 31004510 34666460 43333075 62009020 77511275 86666150 155022550 173332300 220132021 310045100 440264042 880528084 1100660105 2201320210 4402640420 5503300525 11006601050 22013202100