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22013120321 is a prime number
BaseRepresentation
bin10100100000000101…
…011000111101000001
32002211010120101011122
4110200011120331001
5330040324322241
614040201322025
71406335302233
oct244005307501
962733511148
1022013120321
119376918125
124324196315
1320ca796baa
1410cb7d8253
1588c87104b
hex520158f41

22013120321 has 2 divisors, whose sum is σ = 22013120322. Its totient is φ = 22013120320.

The previous prime is 22013120317. The next prime is 22013120341. The reversal of 22013120321 is 12302131022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21856369921 + 156750400 = 147839^2 + 12520^2 .

It is a cyclic number.

It is not a de Polignac number, because 22013120321 - 22 = 22013120317 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 22013120321.

It is not a weakly prime, because it can be changed into another prime (22013120341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11006560160 + 11006560161.

It is an arithmetic number, because the mean of its divisors is an integer number (11006560161).

Almost surely, 222013120321 is an apocalyptic number.

It is an amenable number.

22013120321 is a deficient number, since it is larger than the sum of its proper divisors (1).

22013120321 is an equidigital number, since it uses as much as digits as its factorization.

22013120321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 22013120321 its reverse (12302131022), we get a palindrome (34315251343).

The spelling of 22013120321 in words is "twenty-two billion, thirteen million, one hundred twenty thousand, three hundred twenty-one".