Search a number
-
+
1313025012 = 2233132373557
BaseRepresentation
bin100111001000011…
…0010101111110100
310101111200120201000
41032100302233310
510142113300022
6334142403300
744352346155
oct11620625764
93344616630
101313025012
11614194142
12307890530
1317c0486a0
14c655192c
157a4146ac
hex4e432bf4

1313025012 has 192 divisors, whose sum is σ = 3884751360. Its totient is φ = 380464128.

The previous prime is 1313025011. The next prime is 1313025013. The reversal of 1313025012 is 2105203131.

1313025012 is a `hidden beast` number, since 131 + 30 + 2 + 501 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1313025011) and next prime (1313025013).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313025011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2357038 + ... + 2357594.

It is an arithmetic number, because the mean of its divisors is an integer number (20233080).

Almost surely, 21313025012 is an apocalyptic number.

1313025012 is a gapful number since it is divisible by the number (12) 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 1313025012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1942375680).

1313025012 is an abundant number, since it is smaller than the sum of its proper divisors (2571726348).

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

1313025012 is a wasteful number, since it uses less digits than its factorization.

1313025012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1313025012 is about 36235.6869950054. The cubic root of 1313025012 is about 1095.0257528190.

Adding to 1313025012 its reverse (2105203131), we get a palindrome (3418228143).

The spelling of 1313025012 in words is "one billion, three hundred thirteen million, twenty-five thousand, twelve".