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20131113749 is a prime number
BaseRepresentation
bin10010101111111010…
…000110101100010101
31220221222020112111112
4102233322012230111
5312212031114444
613125331344405
71311603433505
oct225772065425
956858215445
1020131113749
1185a054179a
123a99a52105
131b8a8c3336
14d8d895a05
157cc51969e
hex4afe86b15

20131113749 has 2 divisors, whose sum is σ = 20131113750. Its totient is φ = 20131113748.

The previous prime is 20131113707. The next prime is 20131113787. The reversal of 20131113749 is 94731113102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19826611249 + 304502500 = 140807^2 + 17450^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-20131113749 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20131113049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10065556874 + 10065556875.

It is an arithmetic number, because the mean of its divisors is an integer number (10065556875).

Almost surely, 220131113749 is an apocalyptic number.

It is an amenable number.

20131113749 is a deficient number, since it is larger than the sum of its proper divisors (1).

20131113749 is an equidigital number, since it uses as much as digits as its factorization.

20131113749 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4536, while the sum is 32.

The spelling of 20131113749 in words is "twenty billion, one hundred thirty-one million, one hundred thirteen thousand, seven hundred forty-nine".