Search a number
-
+
2313809300 = 2252116134483
BaseRepresentation
bin1000100111101001…
…1110110110010100
312222020211200122202
42021322132312110
514214313344200
61021332544032
7111224024465
oct21172366624
95866750582
102313809300
11a880a31a0
12546a82018
132ab49b83a
1417d424d6c
15d81ed1d5
hex89e9ed94

2313809300 has 72 divisors (see below), whose sum is σ = 5567372832. Its totient is φ = 827568000.

The previous prime is 2313809299. The next prime is 2313809383. The reversal of 2313809300 is 39083132.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49859 + ... + 84341.

Almost surely, 22313809300 is an apocalyptic number.

2313809300 is a gapful number since it is divisible by the number (20) 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 2313809300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2783686416).

2313809300 is an abundant number, since it is smaller than the sum of its proper divisors (3253563532).

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

2313809300 is a wasteful number, since it uses less digits than its factorization.

2313809300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34569 (or 34562 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 2313809300 is about 48102.0716809578. The cubic root of 2313809300 is about 1322.6426436002.

The spelling of 2313809300 in words is "two billion, three hundred thirteen million, eight hundred nine thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 61 100 110 122 220 244 275 305 550 610 671 1100 1220 1342 1525 2684 3050 3355 6100 6710 13420 16775 33550 34483 67100 68966 137932 172415 344830 379313 689660 758626 862075 1517252 1724150 1896565 2103463 3448300 3793130 4206926 7586260 8413852 9482825 10517315 18965650 21034630 23138093 37931300 42069260 46276186 52586575 92552372 105173150 115690465 210346300 231380930 462761860 578452325 1156904650 2313809300