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112033312022213 is a prime number
BaseRepresentation
bin11001011110010011001001…
…110001000001111011000101
3112200200021120010211200210122
4121132103021301001323011
5104141023210334202323
61034135220521031325
732412065624530121
oct3136231161017305
9480607503750718
10112033312022213
1132774073a3034a
1210694981625545
134a6890812c07a
141d94626a64581
15ce439be93ec8
hex65e4c9c41ec5

112033312022213 has 2 divisors, whose sum is σ = 112033312022214. Its totient is φ = 112033312022212.

The previous prime is 112033312022167. The next prime is 112033312022237. The reversal of 112033312022213 is 312220213330211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74097973888324 + 37935338133889 = 8608018^2 + 6159167^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-112033312022213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112033312027213) 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, 56016656011106 + 56016656011107.

It is an arithmetic number, because the mean of its divisors is an integer number (56016656011107).

Almost surely, 2112033312022213 is an apocalyptic number.

It is an amenable number.

112033312022213 is a deficient number, since it is larger than the sum of its proper divisors (1).

112033312022213 is an equidigital number, since it uses as much as digits as its factorization.

112033312022213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 112033312022213 its reverse (312220213330211), we get a palindrome (424253525352424).

The spelling of 112033312022213 in words is "one hundred twelve trillion, thirty-three billion, three hundred twelve million, twenty-two thousand, two hundred thirteen".