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22122102102031 is a prime number
BaseRepresentation
bin1010000011110101101000…
…00010011001100000001111
32220022212000022221211000001
411001322310002121200033
510344422031114231111
6115014430422545131
74442161212202501
oct501726402314017
986285008854001
1022122102102031
117059a26a07348
1225934b32981a7
13c4614a3a8009
14566a032c9d71
152856a76491c1
hex141eb409980f

22122102102031 has 2 divisors, whose sum is σ = 22122102102032. Its totient is φ = 22122102102030.

The previous prime is 22122102101993. The next prime is 22122102102053. The reversal of 22122102102031 is 13020120122122.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 22122102102031 - 27 = 22122102101903 is a prime.

It is a super-2 number, since 2×221221021020312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22122102102131) 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, 11061051051015 + 11061051051016.

It is an arithmetic number, because the mean of its divisors is an integer number (11061051051016).

Almost surely, 222122102102031 is an apocalyptic number.

22122102102031 is a deficient number, since it is larger than the sum of its proper divisors (1).

22122102102031 is an equidigital number, since it uses as much as digits as its factorization.

22122102102031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 22122102102031 its reverse (13020120122122), we get a palindrome (35142222224153).

The spelling of 22122102102031 in words is "twenty-two trillion, one hundred twenty-two billion, one hundred two million, one hundred two thousand, thirty-one".