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22131103021 is a prime number
BaseRepresentation
bin10100100111000111…
…011101010100101101
32010010100120112000021
4110213013131110231
5330311030244041
614100014202141
71412300162146
oct244707352455
963110515007
1022131103021
119427481295
1243577b3351
132119065841
1410dd34aacd
15897dc8cd1
hex5271dd52d

22131103021 has 2 divisors, whose sum is σ = 22131103022. Its totient is φ = 22131103020.

The previous prime is 22131103009. The next prime is 22131103037. The reversal of 22131103021 is 12030113122.

It is an a-pointer prime, because the next prime (22131103037) can be obtained adding 22131103021 to its sum of digits (16).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 14643662121 + 7487440900 = 121011^2 + 86530^2 .

It is a cyclic number.

It is not a de Polignac number, because 22131103021 - 25 = 22131102989 is a prime.

It is a super-2 number, since 2×221311030212 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22131102986 and 22131103004.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22131103061) 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, 11065551510 + 11065551511.

It is an arithmetic number, because the mean of its divisors is an integer number (11065551511).

Almost surely, 222131103021 is an apocalyptic number.

It is an amenable number.

22131103021 is a deficient number, since it is larger than the sum of its proper divisors (1).

22131103021 is an equidigital number, since it uses as much as digits as its factorization.

22131103021 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 16.

Adding to 22131103021 its reverse (12030113122), we get a palindrome (34161216143).

The spelling of 22131103021 in words is "twenty-two billion, one hundred thirty-one million, one hundred three thousand, twenty-one".