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110101113961 is a prime number
BaseRepresentation
bin110011010001010001…
…0011010110001101001
3101112012010200002122121
41212202202122301221
53300441341121321
6122325120551241
710645260012226
oct1464242326151
9345163602577
10110101113961
114276a232573
1219408782521
13a4c8440757
1454867c494d
152ce5e1c441
hex19a289ac69

110101113961 has 2 divisors, whose sum is σ = 110101113962. Its totient is φ = 110101113960.

The previous prime is 110101113953. The next prime is 110101114021. The reversal of 110101113961 is 169311101011.

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., 66219243561 + 43881870400 = 257331^2 + 209480^2 .

It is a cyclic number.

It is not a de Polignac number, because 110101113961 - 23 = 110101113953 is a prime.

It is not a weakly prime, because it can be changed into another prime (110101110961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55050556980 + 55050556981.

It is an arithmetic number, because the mean of its divisors is an integer number (55050556981).

Almost surely, 2110101113961 is an apocalyptic number.

It is an amenable number.

110101113961 is a deficient number, since it is larger than the sum of its proper divisors (1).

110101113961 is an equidigital number, since it uses as much as digits as its factorization.

110101113961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 25.

Adding to 110101113961 its reverse (169311101011), we get a palindrome (279412214972).

The spelling of 110101113961 in words is "one hundred ten billion, one hundred one million, one hundred thirteen thousand, nine hundred sixty-one".