Search a number
-
+
1313612300 = 22527112131193
BaseRepresentation
bin100111001001100…
…0010001000001100
310101112210102022102
41032103002020030
510142241043200
6334203134232
744360343320
oct11623021014
93345712272
101313612300
11614555400
12307b14378
1317c1c2ab0
14c6665980
157a4cd6d5
hex4e4c220c

1313612300 has 216 divisors, whose sum is σ = 3859523808. Its totient is φ = 377625600.

The previous prime is 1313612239. The next prime is 1313612309. The reversal of 1313612300 is 32163131.

It is a happy number.

It is a super-2 number, since 2×13136123002 = 3451154549422580000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1313612309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1100504 + ... + 1101696.

Almost surely, 21313612300 is an apocalyptic number.

1313612300 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 1313612300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1929761904).

1313612300 is an abundant number, since it is smaller than the sum of its proper divisors (2545911508).

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

1313612300 is a wasteful number, since it uses less digits than its factorization.

1313612300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249 (or 1231 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 1313612300 is about 36243.7898128769. The cubic root of 1313612300 is about 1095.1889890156.

Adding to 1313612300 its reverse (32163131), we get a palindrome (1345775431).

The spelling of 1313612300 in words is "one billion, three hundred thirteen million, six hundred twelve thousand, three hundred".