Search a number
-
+
1013312343809 is a prime number
BaseRepresentation
bin11101011111011100001…
…11110100111100000001
310120212112110221120002202
432233232013310330001
5113100230430000214
62053302000122545
7133131552544013
oct16575607647401
93525473846082
101013312343809
1136081a445927
12144478306455
137472a29a95c
143708a47a1b3
151b55a3146de
hexebee1f4f01

1013312343809 has 2 divisors, whose sum is σ = 1013312343810. Its totient is φ = 1013312343808.

The previous prime is 1013312343781. The next prime is 1013312343881. The reversal of 1013312343809 is 9083432133101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 603219395584 + 410092948225 = 776672^2 + 640385^2 .

It is a cyclic number.

It is not a de Polignac number, because 1013312343809 - 212 = 1013312339713 is a prime.

It is a super-2 number, since 2×10133123438092 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1013312343209) 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, 506656171904 + 506656171905.

It is an arithmetic number, because the mean of its divisors is an integer number (506656171905).

Almost surely, 21013312343809 is an apocalyptic number.

It is an amenable number.

1013312343809 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013312343809 is an equidigital number, since it uses as much as digits as its factorization.

1013312343809 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46656, while the sum is 38.

The spelling of 1013312343809 in words is "one trillion, thirteen billion, three hundred twelve million, three hundred forty-three thousand, eight hundred nine".