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22101100213 is a prime number
BaseRepresentation
bin10100100101010101…
…000000011010110101
32010001021010012220011
4110211111000122311
5330230340201323
614053023140221
71411454152333
oct244525003265
963037105804
1022101100213
119411549785
124349744671
132112a8c4ba
1410d937ab53
1589544e20d
hex5255406b5

22101100213 has 2 divisors, whose sum is σ = 22101100214. Its totient is φ = 22101100212.

The previous prime is 22101100211. The next prime is 22101100249. The reversal of 22101100213 is 31200110122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18803814129 + 3297286084 = 137127^2 + 57422^2 .

It is a cyclic number.

It is not a de Polignac number, because 22101100213 - 21 = 22101100211 is a prime.

Together with 22101100211, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 22101100193 and 22101100202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22101100211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11050550106 + 11050550107.

It is an arithmetic number, because the mean of its divisors is an integer number (11050550107).

Almost surely, 222101100213 is an apocalyptic number.

It is an amenable number.

22101100213 is a deficient number, since it is larger than the sum of its proper divisors (1).

22101100213 is an equidigital number, since it uses as much as digits as its factorization.

22101100213 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 22101100213 its reverse (31200110122), we get a palindrome (53301210335).

Subtracting 22101100213 from its reverse (31200110122), we obtain a palindrome (9099009909).

The spelling of 22101100213 in words is "twenty-two billion, one hundred one million, one hundred thousand, two hundred thirteen".