Search a number
-
+
22121001331213 is a prime number
BaseRepresentation
bin1010000011110011100100…
…11011010010101000001101
32220022202011121122212022111
411001321302123102220031
510344412302320044323
6115014125301344021
74442122014616231
oct501716233225015
986282147585274
1022121001331213
1170595116159a4
122593246708011
13c46003317535
1456693b02a5c1
15285640baec0d
hex141e726d2a0d

22121001331213 has 2 divisors, whose sum is σ = 22121001331214. Its totient is φ = 22121001331212.

The previous prime is 22121001331159. The next prime is 22121001331249. The reversal of 22121001331213 is 31213310012122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14424826788009 + 7696174543204 = 3798003^2 + 2774198^2 .

It is a cyclic number.

It is not a de Polignac number, because 22121001331213 - 213 = 22121001323021 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22121001331313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11060500665606 + 11060500665607.

It is an arithmetic number, because the mean of its divisors is an integer number (11060500665607).

Almost surely, 222121001331213 is an apocalyptic number.

It is an amenable number.

22121001331213 is a deficient number, since it is larger than the sum of its proper divisors (1).

22121001331213 is an equidigital number, since it uses as much as digits as its factorization.

22121001331213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 22121001331213 its reverse (31213310012122), we get a palindrome (53334311343335).

The spelling of 22121001331213 in words is "twenty-two trillion, one hundred twenty-one billion, one million, three hundred thirty-one thousand, two hundred thirteen".