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22013323136741 is a prime number
BaseRepresentation
bin1010000000101011000000…
…10011100100111011100101
32212221110020100010211100202
411000111200103210323211
510341131241210333431
6114452440412120245
74431260445226136
oct500254023447345
985843210124322
1022013323136741
11701788602a732
1225763b5466085
13c38b02b58971
1456164434dc8d
1528293c8448cb
hex1405604e4ee5

22013323136741 has 2 divisors, whose sum is σ = 22013323136742. Its totient is φ = 22013323136740.

The previous prime is 22013323136737. The next prime is 22013323136767. The reversal of 22013323136741 is 14763132331022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21199486404100 + 813836732641 = 4604290^2 + 902129^2 .

It is a cyclic number.

It is not a de Polignac number, because 22013323136741 - 22 = 22013323136737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22013323136695 and 22013323136704.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22013323136771) 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, 11006661568370 + 11006661568371.

It is an arithmetic number, because the mean of its divisors is an integer number (11006661568371).

Almost surely, 222013323136741 is an apocalyptic number.

It is an amenable number.

22013323136741 is a deficient number, since it is larger than the sum of its proper divisors (1).

22013323136741 is an equidigital number, since it uses as much as digits as its factorization.

22013323136741 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108864, while the sum is 38.

Adding to 22013323136741 its reverse (14763132331022), we get a palindrome (36776455467763).

The spelling of 22013323136741 in words is "twenty-two trillion, thirteen billion, three hundred twenty-three million, one hundred thirty-six thousand, seven hundred forty-one".