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21313003320 = 23325743196687
BaseRepresentation
bin10011110110010110…
…101001111100111000
32001000100011202012100
4103312112221330320
5322122112101240
613442511343400
71353104352630
oct236626517470
961010152170
1021313003320
1190476a8934
124169821b60
13201871648b
14106282d6c0
1584b178e30
hex4f65a9f38

21313003320 has 192 divisors, whose sum is σ = 81003985920. Its totient is φ = 4758227712.

The previous prime is 21313003303. The next prime is 21313003339. The reversal of 21313003320 is 2330031312.

21313003320 is a `hidden beast` number, since 2 + 1 + 31 + 300 + 332 + 0 = 666.

It is a super-2 number, since 2×213130033202 (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 = 21313003293 and 21313003302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10017 + ... + 206703.

It is an arithmetic number, because the mean of its divisors is an integer number (421895760).

Almost surely, 221313003320 is an apocalyptic number.

21313003320 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 21313003320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40501992960).

21313003320 is an abundant number, since it is smaller than the sum of its proper divisors (59690982600).

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

21313003320 is a wasteful number, since it uses less digits than its factorization.

21313003320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196754 (or 196747 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 21313003320 its reverse (2330031312), we get a palindrome (23643034632).

The spelling of 21313003320 in words is "twenty-one billion, three hundred thirteen million, three thousand, three hundred twenty".