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22131211301 is a prime number
BaseRepresentation
bin10100100111000111…
…110111110000100101
32010010100210000112122
4110213013313300211
5330311042230201
614100020355325
71412301122633
oct244707676045
963110700478
1022131211301
119427545681
124357845b45
1321190a2c04
1410dd378353
15897deae1b
hex5271f7c25

22131211301 has 2 divisors, whose sum is σ = 22131211302. Its totient is φ = 22131211300.

The previous prime is 22131211259. The next prime is 22131211327. The reversal of 22131211301 is 10311213122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19383879076 + 2747332225 = 139226^2 + 52415^2 .

It is a cyclic number.

It is not a de Polignac number, because 22131211301 - 26 = 22131211237 is a prime.

It is a super-2 number, since 2×221312113012 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22131211301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22131211331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11065605650 + 11065605651.

It is an arithmetic number, because the mean of its divisors is an integer number (11065605651).

Almost surely, 222131211301 is an apocalyptic number.

It is an amenable number.

22131211301 is a deficient number, since it is larger than the sum of its proper divisors (1).

22131211301 is an equidigital number, since it uses as much as digits as its factorization.

22131211301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 22131211301 its reverse (10311213122), we get a palindrome (32442424423).

The spelling of 22131211301 in words is "twenty-two billion, one hundred thirty-one million, two hundred eleven thousand, three hundred one".