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211621424321 is a prime number
BaseRepresentation
bin1100010100010110011…
…1101010110011000001
3202020020021001012122102
43011011213222303001
511431400041034241
6241114553320145
721201114266366
oct3050547526301
9666207035572
10211621424321
118182586030a
123501b706055
1316c56c03c08
14a35771446d
15578886439b
hex31459eacc1

211621424321 has 2 divisors, whose sum is σ = 211621424322. Its totient is φ = 211621424320.

The previous prime is 211621424291. The next prime is 211621424401. The reversal of 211621424321 is 123424126112.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 191126352400 + 20495071921 = 437180^2 + 143161^2 .

It is a cyclic number.

It is not a de Polignac number, because 211621424321 - 226 = 211554315457 is a prime.

It is a super-2 number, since 2×2116214243212 (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (211620424321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105810712160 + 105810712161.

It is an arithmetic number, because the mean of its divisors is an integer number (105810712161).

Almost surely, 2211621424321 is an apocalyptic number.

It is an amenable number.

211621424321 is a deficient number, since it is larger than the sum of its proper divisors (1).

211621424321 is an equidigital number, since it uses as much as digits as its factorization.

211621424321 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4608, while the sum is 29.

The spelling of 211621424321 in words is "two hundred eleven billion, six hundred twenty-one million, four hundred twenty-four thousand, three hundred twenty-one".