Search a number
-
+
22701837622213 is a prime number
BaseRepresentation
bin1010010100101101011101…
…11101111001101111000101
32222101021102002121122010201
411022112232331321233011
510433421330412402323
6120141025155050501
74532103461623441
oct512265675715705
988337362548121
1022701837622213
117262882558262
1226679275a0a31
13c88a0a918559
14586abc0bd821
152957d84068ad
hex14a5aef79bc5

22701837622213 has 2 divisors, whose sum is σ = 22701837622214. Its totient is φ = 22701837622212.

The previous prime is 22701837622183. The next prime is 22701837622229. The reversal of 22701837622213 is 31222673810722.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22371831032769 + 330006589444 = 4729887^2 + 574462^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22701837622213 is a prime.

It is a super-2 number, since 2×227018376222132 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22701837625213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11350918811106 + 11350918811107.

It is an arithmetic number, because the mean of its divisors is an integer number (11350918811107).

Almost surely, 222701837622213 is an apocalyptic number.

It is an amenable number.

22701837622213 is a deficient number, since it is larger than the sum of its proper divisors (1).

22701837622213 is an equidigital number, since it uses as much as digits as its factorization.

22701837622213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 677376, while the sum is 46.

The spelling of 22701837622213 in words is "twenty-two trillion, seven hundred one billion, eight hundred thirty-seven million, six hundred twenty-two thousand, two hundred thirteen".