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21122112096817 is a prime number
BaseRepresentation
bin1001100110101110111111…
…11111010000101000110001
32202210020212022100011210021
410303113133333100220301
510232031041144044232
6112531210410403441
74310010425331664
oct463273777205061
982706768304707
1021122112096817
116803923698706
122451734730581
13ba2a641cb864
1453045c3256db
1526967bc09397
hex1335dffd0a31

21122112096817 has 2 divisors, whose sum is σ = 21122112096818. Its totient is φ = 21122112096816.

The previous prime is 21122112096793. The next prime is 21122112096853. The reversal of 21122112096817 is 71869021122112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19562300939041 + 1559811157776 = 4422929^2 + 1248924^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-21122112096817 is a prime.

It is a super-2 number, since 2×211221120968172 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (21122112096017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10561056048408 + 10561056048409.

It is an arithmetic number, because the mean of its divisors is an integer number (10561056048409).

Almost surely, 221122112096817 is an apocalyptic number.

It is an amenable number.

21122112096817 is a deficient number, since it is larger than the sum of its proper divisors (1).

21122112096817 is an equidigital number, since it uses as much as digits as its factorization.

21122112096817 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48384, while the sum is 43.

The spelling of 21122112096817 in words is "twenty-one trillion, one hundred twenty-two billion, one hundred twelve million, ninety-six thousand, eight hundred seventeen".