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110300232013 is a prime number
BaseRepresentation
bin110011010111001100…
…1111111100101001101
3101112201000100100021021
41212232121333211031
53301343324411023
6122400552434141
710653225334306
oct1465631774515
9345630310237
10110300232013
1142861672944
12194633a8951
13a52a77949a
1454a50177ad
152d0865035d
hex19ae67f94d

110300232013 has 2 divisors, whose sum is σ = 110300232014. Its totient is φ = 110300232012.

The previous prime is 110300231999. The next prime is 110300232023. The reversal of 110300232013 is 310232003011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 109649063689 + 651168324 = 331133^2 + 25518^2 .

It is a cyclic number.

It is not a de Polignac number, because 110300232013 - 25 = 110300231981 is a prime.

It is a super-2 number, since 2×1103002320132 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110300232023) 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, 55150116006 + 55150116007.

It is an arithmetic number, because the mean of its divisors is an integer number (55150116007).

Almost surely, 2110300232013 is an apocalyptic number.

It is an amenable number.

110300232013 is a deficient number, since it is larger than the sum of its proper divisors (1).

110300232013 is an equidigital number, since it uses as much as digits as its factorization.

110300232013 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 16.

Adding to 110300232013 its reverse (310232003011), we get a palindrome (420532235024).

The spelling of 110300232013 in words is "one hundred ten billion, three hundred million, two hundred thirty-two thousand, thirteen".