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213122302117 is a prime number
BaseRepresentation
bin1100011001111100010…
…1000100000010100101
3202101002212012200220221
43012133011010002211
511442433302131432
6241523530324341
721253240451404
oct3063705040245
9671085180827
10213122302117
1182425a8aa8a
123537a2896b1
1317135b4289a
14a45aba563b
1558254d3b97
hex319f1440a5

213122302117 has 2 divisors, whose sum is σ = 213122302118. Its totient is φ = 213122302116.

The previous prime is 213122302093. The next prime is 213122302157. The reversal of 213122302117 is 711203221312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 115512296641 + 97610005476 = 339871^2 + 312426^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-213122302117 is a prime.

It is a super-2 number, since 2×2131223021172 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 213122302091 and 213122302100.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213122302157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106561151058 + 106561151059.

It is an arithmetic number, because the mean of its divisors is an integer number (106561151059).

Almost surely, 2213122302117 is an apocalyptic number.

It is an amenable number.

213122302117 is a deficient number, since it is larger than the sum of its proper divisors (1).

213122302117 is an equidigital number, since it uses as much as digits as its factorization.

213122302117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1008, while the sum is 25.

Adding to 213122302117 its reverse (711203221312), we get a palindrome (924325523429).

The spelling of 213122302117 in words is "two hundred thirteen billion, one hundred twenty-two million, three hundred two thousand, one hundred seventeen".