Search a number
-
+
6306424631100 = 223252112281279269
BaseRepresentation
bin101101111000101010000…
…1100110010111100111100
3211022212222120112122200100
41123301110030302330330
51311311024201143400
621225044222201100
71220424036621456
oct133612414627474
924285876478610
106306424631100
1120115a3329130
1285a288a23190
13369902211069
1417b3382b72d6
15ae0a06ab100
hex5bc54332f3c

6306424631100 has 216 divisors, whose sum is σ = 21573681227280. Its totient is φ = 1528154496000.

The previous prime is 6306424631051. The next prime is 6306424631149. The reversal of 6306424631100 is 11364246036.

6306424631100 is a `hidden beast` number, since 6 + 3 + 0 + 6 + 4 + 2 + 4 + 631 + 10 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6306424631051) and next prime (6306424631149).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22442266 + ... + 22721534.

It is an arithmetic number, because the mean of its divisors is an integer number (99878153830).

Almost surely, 26306424631100 is an apocalyptic number.

6306424631100 is a gapful number since it is divisible by the number (60) 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 6306424631100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10786840613640).

6306424631100 is an abundant number, since it is smaller than the sum of its proper divisors (15267256596180).

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

6306424631100 is a wasteful number, since it uses less digits than its factorization.

6306424631100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281581 (or 281571 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 6306424631100 its reverse (11364246036), we get a palindrome (6317788877136).

The spelling of 6306424631100 in words is "six trillion, three hundred six billion, four hundred twenty-four million, six hundred thirty-one thousand, one hundred".