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110000032013 is a prime number
BaseRepresentation
bin110011001110010000…
…0110100100100001101
3101111221002110121021202
41212130200310210031
53300240002011023
6122311110235245
710642621562534
oct1463440644415
9344832417252
10110000032013
1142718172173
121939a955b25
13a4b050b651
1454771d131b
152cdc102128
hex199c83490d

110000032013 has 2 divisors, whose sum is σ = 110000032014. Its totient is φ = 110000032012.

The previous prime is 110000031961. The next prime is 110000032027. The reversal of 110000032013 is 310230000011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99920474404 + 10079557609 = 316102^2 + 100397^2 .

It is a cyclic number.

It is not a de Polignac number, because 110000032013 - 26 = 110000031949 is a prime.

It is a super-2 number, since 2×1100000320132 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110000031985 and 110000032003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110000032213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55000016006 + 55000016007.

It is an arithmetic number, because the mean of its divisors is an integer number (55000016007).

Almost surely, 2110000032013 is an apocalyptic number.

It is an amenable number.

110000032013 is a deficient number, since it is larger than the sum of its proper divisors (1).

110000032013 is an equidigital number, since it uses as much as digits as its factorization.

110000032013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 110000032013 its reverse (310230000011), we get a palindrome (420230032024).

The spelling of 110000032013 in words is "one hundred ten billion, thirty-two thousand, thirteen".