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21002021302320 = 243253710331124611
BaseRepresentation
bin1001100011001111010100…
…00001001111000000110000
32202100202212222022201122200
410301213222001033000300
510223044114423133240
6112400110112103200
74265226444404412
oct461475201170060
982322788281580
1021002021302320
1167679a855a313
1224323ba534b00
13b94636274a46
14528708d069b2
1526649dcbb930
hex1319ea04f030

21002021302320 has 480 divisors, whose sum is σ = 73379497411584. Its totient is φ = 5378698598400.

The previous prime is 21002021302259. The next prime is 21002021302331. The reversal of 21002021302320 is 2320312020012.

21002021302320 is a `hidden beast` number, since 2 + 1 + 0 + 0 + 20 + 21 + 302 + 320 = 666.

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 = 21002021302293 and 21002021302302.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 853346815 + ... + 853371425.

Almost surely, 221002021302320 is an apocalyptic number.

21002021302320 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 21002021302320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36689748705792).

21002021302320 is an abundant number, since it is smaller than the sum of its proper divisors (52377476109264).

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

21002021302320 is a wasteful number, since it uses less digits than its factorization.

21002021302320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25081 (or 25072 counting only the distinct ones).

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

Adding to 21002021302320 its reverse (2320312020012), we get a palindrome (23322333322332).

The spelling of 21002021302320 in words is "twenty-one trillion, two billion, twenty-one million, three hundred two thousand, three hundred twenty".