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21313113120 = 25335131312897
BaseRepresentation
bin10011110110010111…
…000100110000100000
32001000100101022211000
4103312113010300200
5322122124104440
613442513552000
71353105321015
oct236627046040
961010338730
1021313113120
119047773382
124169875600
132018754450
14106285b70c
1584b19b730
hex4f65c4c20

21313113120 has 384 divisors, whose sum is σ = 80975220480. Its totient is φ = 5204459520.

The previous prime is 21313113119. The next prime is 21313113121. The reversal of 21313113120 is 2131131312.

It is an interprime number because it is at equal distance from previous prime (21313113119) and next prime (21313113121).

It is a super-2 number, since 2×213131131202 (a number of 21 digits) contains 22 as substring.

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 = 21313113093 and 21313113102.

It is not an unprimeable number, because it can be changed into a prime (21313113121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7355512 + ... + 7358408.

It is an arithmetic number, because the mean of its divisors is an integer number (210872970).

Almost surely, 221313113120 is an apocalyptic number.

21313113120 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 21313113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40487610240).

21313113120 is an abundant number, since it is smaller than the sum of its proper divisors (59662107360).

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

21313113120 is a wasteful number, since it uses less digits than its factorization.

21313113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3065 (or 3051 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 21313113120 its reverse (2131131312), we get a palindrome (23444244432).

The spelling of 21313113120 in words is "twenty-one billion, three hundred thirteen million, one hundred thirteen thousand, one hundred twenty".