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21122221331293 is a prime number
BaseRepresentation
bin1001100110101111001100…
…11111111101001101011101
32202210021010220212212022121
410303113212133331031131
510232031302130100133
6112531225311542541
74310013222654565
oct463274637751535
982707126785277
1021122221331293
11680397a317135
12245176522aa51
13ba2a80a26644
1453046ca3bda5
152696865d502d
hex1335e67fd35d

21122221331293 has 2 divisors, whose sum is σ = 21122221331294. Its totient is φ = 21122221331292.

The previous prime is 21122221331287. The next prime is 21122221331377. The reversal of 21122221331293 is 39213312222112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18177833021209 + 2944388310084 = 4263547^2 + 1715922^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-21122221331293 is a prime.

It is a super-3 number, since 3×211222213312933 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21122221431293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10561110665646 + 10561110665647.

It is an arithmetic number, because the mean of its divisors is an integer number (10561110665647).

Almost surely, 221122221331293 is an apocalyptic number.

It is an amenable number.

21122221331293 is a deficient number, since it is larger than the sum of its proper divisors (1).

21122221331293 is an equidigital number, since it uses as much as digits as its factorization.

21122221331293 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15552, while the sum is 34.

The spelling of 21122221331293 in words is "twenty-one trillion, one hundred twenty-two billion, two hundred twenty-one million, three hundred thirty-one thousand, two hundred ninety-three".