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2113313302229 is a prime number
BaseRepresentation
bin11110110000001011010…
…010011110011011010101
321111000211102211000112112
4132300023102132123111
5234111031201132404
64254502010200405
7305452605452543
oct36601322363325
97430742730475
102113313302229
117452842a09a8
122a16a8423105
1312439132022c
14743dbb12d93
1539e8ae0456e
hex1ec0b49e6d5

2113313302229 has 2 divisors, whose sum is σ = 2113313302230. Its totient is φ = 2113313302228.

The previous prime is 2113313302207. The next prime is 2113313302259. The reversal of 2113313302229 is 9222033133112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1888912138129 + 224401164100 = 1374377^2 + 473710^2 .

It is a cyclic number.

It is not a de Polignac number, because 2113313302229 - 224 = 2113296525013 is a prime.

It is a super-3 number, since 3×21133133022293 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 2113313302195 and 2113313302204.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2113313302259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056656651114 + 1056656651115.

It is an arithmetic number, because the mean of its divisors is an integer number (1056656651115).

Almost surely, 22113313302229 is an apocalyptic number.

It is an amenable number.

2113313302229 is a deficient number, since it is larger than the sum of its proper divisors (1).

2113313302229 is an equidigital number, since it uses as much as digits as its factorization.

2113313302229 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11664, while the sum is 32.

The spelling of 2113313302229 in words is "two trillion, one hundred thirteen billion, three hundred thirteen million, three hundred two thousand, two hundred twenty-nine".