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22112101320229 is a prime number
BaseRepresentation
bin1010000011100010111111…
…11100011100011000100101
32220021220012100201110110001
411001301133330130120211
510344241040414221404
6115010054211301301
74441355325023314
oct501613774343045
986256170643401
1022112101320229
117055764808a18
122591581baa831
13c452154a5a4b
1456633500227b
152852be6847a4
hex141c5ff1c625

22112101320229 has 2 divisors, whose sum is σ = 22112101320230. Its totient is φ = 22112101320228.

The previous prime is 22112101320217. The next prime is 22112101320299. The reversal of 22112101320229 is 92202310121122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20335572212004 + 1776529108225 = 4509498^2 + 1332865^2 .

It is a cyclic number.

It is not a de Polignac number, because 22112101320229 - 215 = 22112101287461 is a prime.

It is a super-2 number, since 2×221121013202292 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22112101320197 and 22112101320206.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22112101320299) 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, 11056050660114 + 11056050660115.

It is an arithmetic number, because the mean of its divisors is an integer number (11056050660115).

Almost surely, 222112101320229 is an apocalyptic number.

It is an amenable number.

22112101320229 is a deficient number, since it is larger than the sum of its proper divisors (1).

22112101320229 is an equidigital number, since it uses as much as digits as its factorization.

22112101320229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 28.

The spelling of 22112101320229 in words is "twenty-two trillion, one hundred twelve billion, one hundred one million, three hundred twenty thousand, two hundred twenty-nine".