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223122123113 is a prime number
BaseRepresentation
bin1100111111001100011…
…1010110100101101001
3210022220202122020111112
43033303013112211221
512123423230414423
6250300105240105
722056113516441
oct3176307264551
9708822566445
10223122123113
118669769255a
12372ab193035
131806a799726
14ab28cbd121
155c0d358a78
hex33f31d6969

223122123113 has 2 divisors, whose sum is σ = 223122123114. Its totient is φ = 223122123112.

The previous prime is 223122123089. The next prime is 223122123121. The reversal of 223122123113 is 311321221322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 204803312704 + 18318810409 = 452552^2 + 135347^2 .

It is a cyclic number.

It is not a de Polignac number, because 223122123113 - 210 = 223122122089 is a prime.

It is a super-3 number, since 3×2231221231133 (a number of 35 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (223122123163) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111561061556 + 111561061557.

It is an arithmetic number, because the mean of its divisors is an integer number (111561061557).

Almost surely, 2223122123113 is an apocalyptic number.

It is an amenable number.

223122123113 is a deficient number, since it is larger than the sum of its proper divisors (1).

223122123113 is an equidigital number, since it uses as much as digits as its factorization.

223122123113 is an evil number, because the sum of its binary digits is even.

The product of its digits is 864, while the sum is 23.

Adding to 223122123113 its reverse (311321221322), we get a palindrome (534443344435).

The spelling of 223122123113 in words is "two hundred twenty-three billion, one hundred twenty-two million, one hundred twenty-three thousand, one hundred thirteen".