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221311192940041 is a prime number
BaseRepresentation
bin110010010100100000000111…
…000010100011111000001001
31002000121010212112221021200011
4302110200013002203320021
5213001430310343040131
62102404543010511521
764421130446415301
oct6224400702437011
91060533775837604
10221311192940041
1164575605931046
12209a37128955a1
13966472c549399
143c91739ba2601
151a8bc2a7ec0b1
hexc948070a3e09

221311192940041 has 2 divisors, whose sum is σ = 221311192940042. Its totient is φ = 221311192940040.

The previous prime is 221311192939943. The next prime is 221311192940081. The reversal of 221311192940041 is 140049291113122.

It is an a-pointer prime, because the next prime (221311192940081) can be obtained adding 221311192940041 to its sum of digits (40).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 185162287279225 + 36148905660816 = 13607435^2 + 6012396^2 .

It is a cyclic number.

It is not a de Polignac number, because 221311192940041 - 213 = 221311192931849 is a prime.

It is a super-2 number, since 2×2213111929400412 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221311192939976 and 221311192940003.

It is not a weakly prime, because it can be changed into another prime (221311192940081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110655596470020 + 110655596470021.

It is an arithmetic number, because the mean of its divisors is an integer number (110655596470021).

Almost surely, 2221311192940041 is an apocalyptic number.

It is an amenable number.

221311192940041 is a deficient number, since it is larger than the sum of its proper divisors (1).

221311192940041 is an equidigital number, since it uses as much as digits as its factorization.

221311192940041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 31104, while the sum is 40.

The spelling of 221311192940041 in words is "two hundred twenty-one trillion, three hundred eleven billion, one hundred ninety-two million, nine hundred forty thousand, forty-one".