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22408257066113 is a prime number
BaseRepresentation
bin1010001100001010101000…
…01100111101010010000001
32221100012121222000010221002
411012011110030331102001
510414114102302103423
6115354113340541345
74501641333233012
oct506052414752201
987305558003832
1022408257066113
11715a319a281a6
12261aa53b51855
13c67121a44279
145767cb773009
1528cd545d5228
hex14615433d481

22408257066113 has 2 divisors, whose sum is σ = 22408257066114. Its totient is φ = 22408257066112.

The previous prime is 22408257066103. The next prime is 22408257066127. The reversal of 22408257066113 is 31166075280422.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19275190683904 + 3133066382209 = 4390352^2 + 1770047^2 .

It is a cyclic number.

It is not a de Polignac number, because 22408257066113 - 212 = 22408257062017 is a prime.

It is a super-3 number, since 3×224082570661133 (a number of 41 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (22408257066103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11204128533056 + 11204128533057.

It is an arithmetic number, because the mean of its divisors is an integer number (11204128533057).

Almost surely, 222408257066113 is an apocalyptic number.

It is an amenable number.

22408257066113 is a deficient number, since it is larger than the sum of its proper divisors (1).

22408257066113 is an equidigital number, since it uses as much as digits as its factorization.

22408257066113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 967680, while the sum is 47.

The spelling of 22408257066113 in words is "twenty-two trillion, four hundred eight billion, two hundred fifty-seven million, sixty-six thousand, one hundred thirteen".