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110122102021013 is a prime number
BaseRepresentation
bin11001000010011111001100…
…110001011101101110010101
3112102220120101122001010100122
4121002133030301131232111
5103413220031104133023
61030113221213521325
732124026226544235
oct3102371461355625
9472816348033318
10110122102021013
11320a7580793865
12104264991a3245
13495a614b03534
141d29d1c4dbcc5
15cae7ddece2c8
hex6427ccc5db95

110122102021013 has 2 divisors, whose sum is σ = 110122102021014. Its totient is φ = 110122102021012.

The previous prime is 110122102021003. The next prime is 110122102021303. The reversal of 110122102021013 is 310120201221011.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 110106448758244 + 15653262769 = 10493162^2 + 125113^2 .

It is a cyclic number.

It is not a de Polignac number, because 110122102021013 - 26 = 110122102020949 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110122102020982 and 110122102021000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110122102021003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55061051010506 + 55061051010507.

It is an arithmetic number, because the mean of its divisors is an integer number (55061051010507).

Almost surely, 2110122102021013 is an apocalyptic number.

It is an amenable number.

110122102021013 is a deficient number, since it is larger than the sum of its proper divisors (1).

110122102021013 is an equidigital number, since it uses as much as digits as its factorization.

110122102021013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 110122102021013 its reverse (310120201221011), we get a palindrome (420242303242024).

The spelling of 110122102021013 in words is "one hundred ten trillion, one hundred twenty-two billion, one hundred two million, twenty-one thousand, thirteen".