Search a number
-
+
1013341311 = 32374370769
BaseRepresentation
bin111100011001100…
…101110001111111
32121121210001221200
4330121211301333
54033403410221
6244315230543
734053154563
oct7431456177
92547701850
101013341311
11480006364
12243448453
13131c2b858
14988216a3
155de69426
hex3c665c7f

1013341311 has 24 divisors (see below), whose sum is σ = 1538256720. Its totient is φ = 642007296.

The previous prime is 1013341297. The next prime is 1013341319. The reversal of 1013341311 is 1131433101.

1013341311 is a `hidden beast` number, since 1 + 0 + 13 + 341 + 311 = 666.

It is not a de Polignac number, because 1013341311 - 25 = 1013341279 is a prime.

It is a super-2 number, since 2×10133413112 = 2053721225158397442, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013341319) 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 in 23 ways as a sum of consecutive naturals, for example, 21066 + ... + 49703.

It is an arithmetic number, because the mean of its divisors is an integer number (64094030).

Almost surely, 21013341311 is an apocalyptic number.

1013341311 is a deficient number, since it is larger than the sum of its proper divisors (524915409).

1013341311 is a wasteful number, since it uses less digits than its factorization.

1013341311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70855 (or 70852 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 1013341311 is about 31833.0223353046. The cubic root of 1013341311 is about 1004.4274722265.

Adding to 1013341311 its reverse (1131433101), we get a palindrome (2144774412).

The spelling of 1013341311 in words is "one billion, thirteen million, three hundred forty-one thousand, three hundred eleven".

Divisors: 1 3 9 37 43 111 129 333 387 1591 4773 14319 70769 212307 636921 2618453 3043067 7855359 9129201 23566077 27387603 112593479 337780437 1013341311