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22211100031 is a prime number
BaseRepresentation
bin10100101011111000…
…100111110101111111
32010022221002210021111
4110223320213311333
5330442020200111
614111552542451
71414261143451
oct245370476577
963287083244
1022211100031
11946865021a
12437a551a27
13212c7c4753
141109c122d1
1589ee2ba21
hex52be27d7f

22211100031 has 2 divisors, whose sum is σ = 22211100032. Its totient is φ = 22211100030.

The previous prime is 22211100017. The next prime is 22211100089. The reversal of 22211100031 is 13000111222.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 22211100031 - 213 = 22211091839 is a prime.

It is a super-2 number, since 2×222111000312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22211099984 and 22211100020.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22211100631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11105550015 + 11105550016.

It is an arithmetic number, because the mean of its divisors is an integer number (11105550016).

Almost surely, 222211100031 is an apocalyptic number.

22211100031 is a deficient number, since it is larger than the sum of its proper divisors (1).

22211100031 is an equidigital number, since it uses as much as digits as its factorization.

22211100031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 22211100031 its reverse (13000111222), we get a palindrome (35211211253).

The spelling of 22211100031 in words is "twenty-two billion, two hundred eleven million, one hundred thousand, thirty-one".