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2223211333117 is a prime number
BaseRepresentation
bin100000010110100001101…
…110001100010111111101
321212112111102100102120211
4200112201232030113331
5242411114100124432
64421155034312421
7316423151350135
oct40264156142775
97775442312524
102223211333117
11787949925115
122baa58b88711
13131856667288
1479865551ac5
153cc6e0a8d47
hex205a1b8c5fd

2223211333117 has 2 divisors, whose sum is σ = 2223211333118. Its totient is φ = 2223211333116.

The previous prime is 2223211333103. The next prime is 2223211333151. The reversal of 2223211333117 is 7113331123222.

2223211333117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1298371370521 + 924839962596 = 1139461^2 + 961686^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2223211333117 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2223211343117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1111605666558 + 1111605666559.

It is an arithmetic number, because the mean of its divisors is an integer number (1111605666559).

Almost surely, 22223211333117 is an apocalyptic number.

It is an amenable number.

2223211333117 is a deficient number, since it is larger than the sum of its proper divisors (1).

2223211333117 is an equidigital number, since it uses as much as digits as its factorization.

2223211333117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9072, while the sum is 31.

Adding to 2223211333117 its reverse (7113331123222), we get a palindrome (9336542456339).

The spelling of 2223211333117 in words is "two trillion, two hundred twenty-three billion, two hundred eleven million, three hundred thirty-three thousand, one hundred seventeen".