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110321331121 is a prime number
BaseRepresentation
bin110011010111110101…
…0011110101110110001
3101112202111001021210201
41212233222132232301
53301414230043441
6122403024555201
710653602561611
oct1465752365661
9345674037721
10110321331121
1142872573a21
121946a482b01
13a531c55c71
1454a7b4aa41
152d0a41bc31
hex19afa9ebb1

110321331121 has 2 divisors, whose sum is σ = 110321331122. Its totient is φ = 110321331120.

The previous prime is 110321331119. The next prime is 110321331137. The reversal of 110321331121 is 121133123011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 55677593521 + 54643737600 = 235961^2 + 233760^2 .

It is a cyclic number.

It is not a de Polignac number, because 110321331121 - 21 = 110321331119 is a prime.

It is a super-2 number, since 2×1103213311212 (a number of 23 digits) contains 22 as substring.

Together with 110321331119, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (110321331161) 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, 55160665560 + 55160665561.

It is an arithmetic number, because the mean of its divisors is an integer number (55160665561).

Almost surely, 2110321331121 is an apocalyptic number.

It is an amenable number.

110321331121 is a deficient number, since it is larger than the sum of its proper divisors (1).

110321331121 is an equidigital number, since it uses as much as digits as its factorization.

110321331121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 110321331121 its reverse (121133123011), we get a palindrome (231454454132).

The spelling of 110321331121 in words is "one hundred ten billion, three hundred twenty-one million, three hundred thirty-one thousand, one hundred twenty-one".