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21022130020320 = 25335111359737901
BaseRepresentation
bin1001100011110100110001…
…00101111001111111100000
32202102200210101102102222000
410301322120211321333200
510223411310241122240
6112413233323444000
74266540656603412
oct461723045717740
982380711372860
1021022130020320
116775487394820
122436290986600
13b964bc326350
1452969580c9b2
15266c79360430
hex131e98979fe0

21022130020320 has 1536 divisors, whose sum is σ = 89121208780800. Its totient is φ = 4560592896000.

The previous prime is 21022130020313. The next prime is 21022130020363. The reversal of 21022130020320 is 2302003122012.

21022130020320 is a `hidden beast` number, since 2 + 1 + 0 + 2 + 21 + 300 + 20 + 320 = 666.

It is a super-2 number, since 2×210221300203202 (a number of 27 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 = 21022130020293 and 21022130020302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2660688370 + ... + 2660696270.

It is an arithmetic number, because the mean of its divisors is an integer number (58021620300).

Almost surely, 221022130020320 is an apocalyptic number.

21022130020320 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 21022130020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44560604390400).

21022130020320 is an abundant number, since it is smaller than the sum of its proper divisors (68099078760480).

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

21022130020320 is a wasteful number, since it uses less digits than its factorization.

21022130020320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8081 (or 8067 counting only the distinct ones).

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

Adding to 21022130020320 its reverse (2302003122012), we get a palindrome (23324133142332).

The spelling of 21022130020320 in words is "twenty-one trillion, twenty-two billion, one hundred thirty million, twenty thousand, three hundred twenty".