Search a number
-
+
1310002947829 is a prime number
BaseRepresentation
bin10011000100000010010…
…000101010011011110101
311122020100100122212000101
4103010002100222123311
5132430341223312304
62441450153314101
7163434044221522
oct23040220523365
94566310585011
101310002947829
1146562956aa24
12191a79405931
13966c05a7594
1447593c78149
15241221b68a4
hex1310242a6f5

1310002947829 has 2 divisors, whose sum is σ = 1310002947830. Its totient is φ = 1310002947828.

The previous prime is 1310002947809. The next prime is 1310002947889. The reversal of 1310002947829 is 9287492000131.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1190667245329 + 119335702500 = 1091177^2 + 345450^2 .

It is a cyclic number.

It is not a de Polignac number, because 1310002947829 - 25 = 1310002947797 is a prime.

It is a super-2 number, since 2×13100029478292 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1310002947809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 655001473914 + 655001473915.

It is an arithmetic number, because the mean of its divisors is an integer number (655001473915).

Almost surely, 21310002947829 is an apocalyptic number.

It is an amenable number.

1310002947829 is a deficient number, since it is larger than the sum of its proper divisors (1).

1310002947829 is an equidigital number, since it uses as much as digits as its factorization.

1310002947829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 217728, while the sum is 46.

The spelling of 1310002947829 in words is "one trillion, three hundred ten billion, two million, nine hundred forty-seven thousand, eight hundred twenty-nine".