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21123202320 = 24325112376553
BaseRepresentation
bin10011101011000010…
…100111110100010000
32000112010000212011200
4103223002213310100
5321230014433240
613412011311200
71345311154143
oct235302476420
960463025150
1021123202320
118a5a551600
12411614b500
131cb82c04ac
14104554405a
15839686930
hex4eb0a7d10

21123202320 has 360 divisors, whose sum is σ = 80093628888. Its totient is φ = 4981616640.

The previous prime is 21123202319. The next prime is 21123202327. The reversal of 21123202320 is 2320232112.

21123202320 is a `hidden beast` number, since 2 + 112 + 320 + 232 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4286582784 + 16836619536 = 65472^2 + 129756^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21123202293 and 21123202302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21123202327) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3220164 + ... + 3226716.

Almost surely, 221123202320 is an apocalyptic number.

21123202320 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 21123202320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40046814444).

21123202320 is an abundant number, since it is smaller than the sum of its proper divisors (58970426568).

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

21123202320 is a wasteful number, since it uses less digits than its factorization.

21123202320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6631 (or 6611 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 21123202320 its reverse (2320232112), we get a palindrome (23443434432).

The spelling of 21123202320 in words is "twenty-one billion, one hundred twenty-three million, two hundred two thousand, three hundred twenty".