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21313102320 = 24375611997
BaseRepresentation
bin10011110110010111…
…000010000111110000
32001000100100210000000
4103312113002013300
5322122123233240
613442513430000
71353105244356
oct236627020760
961010323000
1021313102320
119047766254
12416986b300
13201874c563
1410628577d6
1584b198430
hex4f65c21f0

21313102320 has 320 divisors, whose sum is σ = 75574270080. Its totient is φ = 5587522560.

The previous prime is 21313102309. The next prime is 21313102331. The reversal of 21313102320 is 2320131312.

21313102320 is a `hidden beast` number, since 2 + 1 + 31 + 310 + 2 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (21313102309) and next prime (21313102331).

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 = 21313102293 and 21313102302.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 10671562 + ... + 10673558.

It is an arithmetic number, because the mean of its divisors is an integer number (236169594).

Almost surely, 221313102320 is an apocalyptic number.

21313102320 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 21313102320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37787135040).

21313102320 is an abundant number, since it is smaller than the sum of its proper divisors (54261167760).

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

21313102320 is an equidigital number, since it uses as much as digits as its factorization.

21313102320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2092 (or 2068 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 21313102320 its reverse (2320131312), we get a palindrome (23633233632).

The spelling of 21313102320 in words is "twenty-one billion, three hundred thirteen million, one hundred two thousand, three hundred twenty".