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21124232320 = 27533006613
BaseRepresentation
bin10011101011000110…
…100011010010000000
32000112011222012001211
4103223012203102000
5321230300413240
613412045335504
71345323004102
oct235306432200
960464865054
1021124232320
118a60095444
124116567594
131cb8591269
141045731572
158397dbbea
hex4eb1a3480

21124232320 has 32 divisors (see below), whose sum is σ = 50500119420. Its totient is φ = 8449692672.

The previous prime is 21124232299. The next prime is 21124232341. The reversal of 21124232320 is 2323242112.

It is an interprime number because it is at equal distance from previous prime (21124232299) and next prime (21124232341).

It can be written as a sum of positive squares in 2 ways, for example, as 19535093824 + 1589138496 = 139768^2 + 39864^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×211242323202 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21124232291 and 21124232300.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16502667 + ... + 16503946.

Almost surely, 221124232320 is an apocalyptic number.

21124232320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21124232320 is an abundant number, since it is smaller than the sum of its proper divisors (29375887100).

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

21124232320 is an equidigital number, since it uses as much as digits as its factorization.

21124232320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33006632 (or 33006620 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 21124232320 its reverse (2323242112), we get a palindrome (23447474432).

The spelling of 21124232320 in words is "twenty-one billion, one hundred twenty-four million, two hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 33006613 66013226 132026452 165033065 264052904 330066130 528105808 660132260 1056211616 1320264520 2112423232 2640529040 4224846464 5281058080 10562116160 21124232320