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110131222323013 is a prime number
BaseRepresentation
bin11001000010100111101100…
…011000101001111101000101
3112102221102221020111110200121
4121002213230120221331011
5103413342220403314023
61030121330213341541
732124501233045053
oct3102475430517505
9472842836443617
10110131222323013
1132100430982731
12104282036378b1
13495b439485038
141d2a5458ab1d3
15caeb74a20d5d
hex6429ec629f45

110131222323013 has 2 divisors, whose sum is σ = 110131222323014. Its totient is φ = 110131222323012.

The previous prime is 110131222322993. The next prime is 110131222323019. The reversal of 110131222323013 is 310323222131011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84854440452609 + 25276781870404 = 9211647^2 + 5027602^2 .

It is a cyclic number.

It is not a de Polignac number, because 110131222323013 - 241 = 107932199067461 is a prime.

It is a super-2 number, since 2×1101312223230132 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110131222323019) 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, 55065611161506 + 55065611161507.

It is an arithmetic number, because the mean of its divisors is an integer number (55065611161507).

Almost surely, 2110131222323013 is an apocalyptic number.

It is an amenable number.

110131222323013 is a deficient number, since it is larger than the sum of its proper divisors (1).

110131222323013 is an equidigital number, since it uses as much as digits as its factorization.

110131222323013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 110131222323013 its reverse (310323222131011), we get a palindrome (420454444454024).

The spelling of 110131222323013 in words is "one hundred ten trillion, one hundred thirty-one billion, two hundred twenty-two million, three hundred twenty-three thousand, thirteen".