Search a number
-
+
10311330200 = 2352375361431
BaseRepresentation
bin10011001101001101…
…00110100110011000
3222121121120211212112
421212212212212120
5132104200031300
64423103331452
7513344601113
oct114646464630
928547524775
1010311330200
114411527aa6
121bb92b0b88
13c84354422
146db64557a
154053a8e35
hex2669a6998

10311330200 has 192 divisors, whose sum is σ = 25556757120. Its totient is φ = 3863808000.

The previous prime is 10311330179. The next prime is 10311330209. The reversal of 10311330200 is 203311301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10311330209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23923985 + ... + 23924415.

It is an arithmetic number, because the mean of its divisors is an integer number (133108110).

Almost surely, 210311330200 is an apocalyptic number.

10311330200 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 10311330200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12778378560).

10311330200 is an abundant number, since it is smaller than the sum of its proper divisors (15245426920).

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

10311330200 is a wasteful number, since it uses less digits than its factorization.

10311330200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 10311330200 its reverse (203311301), we get a palindrome (10514641501).

The spelling of 10311330200 in words is "ten billion, three hundred eleven million, three hundred thirty thousand, two hundred".