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22122222021013 is a prime number
BaseRepresentation
bin1010000011110101110110…
…01011110110100110010101
32220022212022200121022220211
411001322323023312212111
510344422302314133023
6115014450345125421
74442164166405512
oct501727313664625
986285280538824
1022122222021013
117059a88673244
122593527489871
13c461691a40aa
14566a151c4309
152856b2e35a0d
hex141ebb2f6995

22122222021013 has 2 divisors, whose sum is σ = 22122222021014. Its totient is φ = 22122222021012.

The previous prime is 22122222021001. The next prime is 22122222021043. The reversal of 22122222021013 is 31012022222122.

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., 22018636529604 + 103585491409 = 4692402^2 + 321847^2 .

It is a cyclic number.

It is not a de Polignac number, because 22122222021013 - 25 = 22122222020981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22122222021043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11061111010506 + 11061111010507.

It is an arithmetic number, because the mean of its divisors is an integer number (11061111010507).

Almost surely, 222122222021013 is an apocalyptic number.

It is an amenable number.

22122222021013 is a deficient number, since it is larger than the sum of its proper divisors (1).

22122222021013 is an equidigital number, since it uses as much as digits as its factorization.

22122222021013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 22122222021013 its reverse (31012022222122), we get a palindrome (53134244243135).

The spelling of 22122222021013 in words is "twenty-two trillion, one hundred twenty-two billion, two hundred twenty-two million, twenty-one thousand, thirteen".