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21221145149 is a prime number
BaseRepresentation
bin10011110000111000…
…001111101000111101
32000202221022212110212
4103300320033220331
5321430103121044
613425430442205
71350610520561
oct236070175075
960687285425
1021221145149
118aaa868496
124142b03365
132002693829
14105455b6a1
15843081a9e
hex4f0e0fa3d

21221145149 has 2 divisors, whose sum is σ = 21221145150. Its totient is φ = 21221145148.

The previous prime is 21221145133. The next prime is 21221145191. The reversal of 21221145149 is 94154112212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18651364900 + 2569780249 = 136570^2 + 50693^2 .

It is a cyclic number.

It is not a de Polignac number, because 21221145149 - 24 = 21221145133 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21221145349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10610572574 + 10610572575.

It is an arithmetic number, because the mean of its divisors is an integer number (10610572575).

Almost surely, 221221145149 is an apocalyptic number.

It is an amenable number.

21221145149 is a deficient number, since it is larger than the sum of its proper divisors (1).

21221145149 is an equidigital number, since it uses as much as digits as its factorization.

21221145149 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5760, while the sum is 32.

The spelling of 21221145149 in words is "twenty-one billion, two hundred twenty-one million, one hundred forty-five thousand, one hundred forty-nine".