Search a number
-
+
2313719100 = 22335271131359
BaseRepresentation
bin1000100111101000…
…1000110100111100
312222020200002221000
42021322020310330
514214303002400
61021331010300
7111223200510
oct21172106474
95866602830
102313719100
11a88041450
12546a39990
132ab469774
1417d400140
15d81d1600
hex89e88d3c

2313719100 has 576 divisors, whose sum is σ = 9599385600. Its totient is φ = 463968000.

The previous prime is 2313719059. The next prime is 2313719119. The reversal of 2313719100 is 19173132.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6444721 + ... + 6445079.

It is an arithmetic number, because the mean of its divisors is an integer number (16665600).

Almost surely, 22313719100 is an apocalyptic number.

2313719100 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 2313719100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4799692800).

2313719100 is an abundant number, since it is smaller than the sum of its proper divisors (7285666500).

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

2313719100 is a wasteful number, since it uses less digits than its factorization.

2313719100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 2313719100 is about 48101.1340822646. The cubic root of 2313719100 is about 1322.6254563703.

It can be divided in two parts, 231371 and 9100, that added together give a triangular number (240471 = T693).

The spelling of 2313719100 in words is "two billion, three hundred thirteen million, seven hundred nineteen thousand, one hundred".