Search a number
-
+
10324331100 = 223252531012143
BaseRepresentation
bin10011001110110000…
…01100101001011100
3222122112001100202100
421213120030221130
5132121012043400
64424250125100
7513563236446
oct114730145134
928575040670
1010324331100
1144188a7846
122001720790
13c86c56b75
146dd26b496
154065c6100
hex26760ca5c

10324331100 has 216 divisors, whose sum is σ = 33313617792. Its totient is φ = 2673216000.

The previous prime is 10324331077. The next prime is 10324331107. The reversal of 10324331100 is 113342301.

10324331100 is a `hidden beast` number, since 1 + 0 + 324 + 331 + 10 + 0 = 666.

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 (10324331107) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4816629 + ... + 4818771.

It is an arithmetic number, because the mean of its divisors is an integer number (154229712).

Almost surely, 210324331100 is an apocalyptic number.

10324331100 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 10324331100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16656808896).

10324331100 is an abundant number, since it is smaller than the sum of its proper divisors (22989286692).

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

10324331100 is a wasteful number, since it uses less digits than its factorization.

10324331100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2317 (or 2307 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10324331100 its reverse (113342301), we get a palindrome (10437673401).

The spelling of 10324331100 in words is "ten billion, three hundred twenty-four million, three hundred thirty-one thousand, one hundred".