Search a number
-
+
1311034660 = 2251312134157
BaseRepresentation
bin100111000100100…
…1100110100100100
310101100221110110021
41032021030310210
510141111102120
6334032004524
744326416325
oct11611146444
93340843407
101311034660
11613054821
12307090744
1317b7cc770
14c619444c
157a16eaaa
hex4e24cd24

1311034660 has 48 divisors (see below), whose sum is σ = 2968113456. Its totient is φ = 483558912.

The previous prime is 1311034657. The next prime is 1311034663. The reversal of 1311034660 is 664301131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1311034657) and next prime (1311034663).

It can be written as a sum of positive squares in 8 ways, for example, as 393308224 + 917726436 = 19832^2 + 30294^2 .

It is not an unprimeable number, because it can be changed into a prime (1311034663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 313302 + ... + 317458.

It is an arithmetic number, because the mean of its divisors is an integer number (61835697).

Almost surely, 21311034660 is an apocalyptic number.

1311034660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311034660 is an abundant number, since it is smaller than the sum of its proper divisors (1657078796).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1311034660 is a wasteful number, since it uses less digits than its factorization.

1311034660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5392 (or 5390 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 1311034660 is about 36208.2126043250. The cubic root of 1311034660 is about 1094.4721739037.

Adding to 1311034660 its reverse (664301131), we get a palindrome (1975335791).

The spelling of 1311034660 in words is "one billion, three hundred eleven million, thirty-four thousand, six hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 1213 2426 4157 4852 6065 8314 12130 15769 16628 20785 24260 31538 41570 54041 63076 78845 83140 108082 157690 216164 270205 315380 540410 1080820 5042441 10084882 20169764 25212205 50424410 65551733 100848820 131103466 262206932 327758665 655517330 1311034660