Search a number
-
+
1313231140 = 2251343111719
BaseRepresentation
bin100111001000110…
…0101000100100100
310101112002001110101
41032101211010210
510142141344030
6334151033444
744354165134
oct11621450444
93345061411
101313231140
11614314aa1
1230796b884
1317c0bb460
14c65a6ac4
157a4557ca
hex4e465124

1313231140 has 48 divisors (see below), whose sum is σ = 2977067520. Its totient is φ = 483719040.

The previous prime is 1313231131. The next prime is 1313231177. The reversal of 1313231140 is 411323131.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106201 + ... + 117919.

It is an arithmetic number, because the mean of its divisors is an integer number (62022240).

Almost surely, 21313231140 is an apocalyptic number.

1313231140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313231140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1488533760).

1313231140 is an abundant number, since it is smaller than the sum of its proper divisors (1663836380).

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

1313231140 is a wasteful number, since it uses less digits than its factorization.

1313231140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12172 (or 12170 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 1313231140 is about 36238.5311512484. The cubic root of 1313231140 is about 1095.0830514629.

Adding to 1313231140 its reverse (411323131), we get a palindrome (1724554271).

The spelling of 1313231140 in words is "one billion, three hundred thirteen million, two hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 431 862 1724 2155 4310 5603 8620 11206 11719 22412 23438 28015 46876 56030 58595 112060 117190 152347 234380 304694 609388 761735 1523470 3046940 5050889 10101778 20203556 25254445 50508890 65661557 101017780 131323114 262646228 328307785 656615570 1313231140