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221022102001021 = 1813958733084617
BaseRepresentation
bin110010010000010010110111…
…111000001001010101111101
31001222120111200022022222021121
4302100102313320021111331
5212432211231103013041
62102024052452430541
764361214505112266
oct6220226770112575
91058514608288247
10221022102001021
1164473a465aa822
1220957692918451
1396433aa854959
143c8175381b96d
151a8445ac177d1
hexc904b7e0957d

221022102001021 has 8 divisors (see below), whose sum is σ = 222243852036024. Its totient is φ = 219800358927360.

The previous prime is 221022102000983. The next prime is 221022102001067. The reversal of 221022102001021 is 120100201220122.

It is a happy number.

221022102001021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 19623004005796 + 201399097995225 = 4429786^2 + 14191515^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 221022102001021 - 219 = 221022101476733 is a prime.

It is a super-2 number, since 2×2210221020010212 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 221022102000986 and 221022102001004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221022102002021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70110705 + ... + 73195321.

It is an arithmetic number, because the mean of its divisors is an integer number (27780481504503).

Almost surely, 2221022102001021 is an apocalyptic number.

It is an amenable number.

221022102001021 is a deficient number, since it is larger than the sum of its proper divisors (1221750035003).

221022102001021 is a wasteful number, since it uses less digits than its factorization.

221022102001021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3480671.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 221022102001021 its reverse (120100201220122), we get a palindrome (341122303221143).

The spelling of 221022102001021 in words is "two hundred twenty-one trillion, twenty-two billion, one hundred two million, one thousand, twenty-one".

Divisors: 1 181 395873 3084617 71653013 558315677 1221116585641 221022102001021