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21003032022000 = 2435371931849019
BaseRepresentation
bin1001100011010001001100…
…10000110100101111110000
32202100212111102011121101220
410301220212100310233300
510223103202144201000
6112400354255225040
74265263466363130
oct461504620645760
982325442147356
1021003032022000
116768377034a36
122432640b18180
13b94767796222
145287a3244ac0
1526650c8b91a0
hex131a26434bf0

21003032022000 has 640 divisors, whose sum is σ = 84088027545600. Its totient is φ = 4401309312000.

The previous prime is 21003032021989. The next prime is 21003032022001. The reversal of 21003032022000 is 22023030012.

It is a super-2 number, since 2×210030320220002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21003032022001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24313491 + ... + 25162509.

It is an arithmetic number, because the mean of its divisors is an integer number (131387543040).

Almost surely, 221003032022000 is an apocalyptic number.

21003032022000 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 21003032022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42044013772800).

21003032022000 is an abundant number, since it is smaller than the sum of its proper divisors (63084995523600).

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

21003032022000 is a wasteful number, since it uses less digits than its factorization.

21003032022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849102 (or 849086 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 21003032022000 its reverse (22023030012), we get a palindrome (21025055052012).

The spelling of 21003032022000 in words is "twenty-one trillion, three billion, thirty-two million, twenty-two thousand".