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1131312319 is a prime number
BaseRepresentation
bin100001101101110…
…0111010010111111
32220211202121202021
41003123213102333
54304103443234
6304131541011
740014665434
oct10333472277
92824677667
101131312319
11530661765
12276a5a767
131504c5097
14aa36db8b
15694bd9b4
hex436e74bf

1131312319 has 2 divisors, whose sum is σ = 1131312320. Its totient is φ = 1131312318.

The previous prime is 1131312263. The next prime is 1131312323. The reversal of 1131312319 is 9132131311.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1131312319 - 221 = 1129215167 is a prime.

It is a super-2 number, since 2×11313123192 = 2559735126242315522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1131312293 and 1131312302.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1131312349) 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, 565656159 + 565656160.

It is an arithmetic number, because the mean of its divisors is an integer number (565656160).

Almost surely, 21131312319 is an apocalyptic number.

1131312319 is a deficient number, since it is larger than the sum of its proper divisors (1).

1131312319 is an equidigital number, since it uses as much as digits as its factorization.

1131312319 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 486, while the sum is 25.

The square root of 1131312319 is about 33634.9865318837. The cubic root of 1131312319 is about 1041.9834924680.

It can be divided in two parts, 11313 and 12319, that added together give a palindrome (23632).

The spelling of 1131312319 in words is "one billion, one hundred thirty-one million, three hundred twelve thousand, three hundred nineteen".