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224113152626017 is a prime number
BaseRepresentation
bin110010111101010001101000…
…110110100000110101100001
31002101112000012221102020101221
4302331101220312200311201
5213333332214033013032
62112352054435055041
765130432562653514
oct6275215066406541
91071460187366357
10224113152626017
1165455944048706
1221176769441481
139808a19a5aa05
143d4b1c4d7ad7b
151ad9a6db69597
hexcbd468da0d61

224113152626017 has 2 divisors, whose sum is σ = 224113152626018. Its totient is φ = 224113152626016.

The previous prime is 224113152625993. The next prime is 224113152626023. The reversal of 224113152626017 is 710626251311422.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 151226022165201 + 72887130460816 = 12297399^2 + 8537396^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-224113152626017 is a prime.

It is a super-3 number, since 3×2241131526260173 (a number of 44 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (224113152626057) 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, 112056576313008 + 112056576313009.

It is an arithmetic number, because the mean of its divisors is an integer number (112056576313009).

Almost surely, 2224113152626017 is an apocalyptic number.

It is an amenable number.

224113152626017 is a deficient number, since it is larger than the sum of its proper divisors (1).

224113152626017 is an equidigital number, since it uses as much as digits as its factorization.

224113152626017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 241920, while the sum is 43.

The spelling of 224113152626017 in words is "two hundred twenty-four trillion, one hundred thirteen billion, one hundred fifty-two million, six hundred twenty-six thousand, seventeen".