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130331424600 = 233352135033691
BaseRepresentation
bin111100101100001011…
…0111011011101011000
3110110102000120100201000
41321120112323131120
54113404321041400
6135512354425000
712262506554556
oct1713026733530
9413360510630
10130331424600
1150300767363
1221313892160
13c3a0755b70
1464454dcbd6
1535cbecd600
hex1e585bb758

130331424600 has 384 divisors, whose sum is σ = 484543987200. Its totient is φ = 32009126400.

The previous prime is 130331424583. The next prime is 130331424631. The reversal of 130331424600 is 6424133031.

130331424600 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 31 + 4 + 24 + 600 = 666.

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 95 ways as a sum of consecutive naturals, for example, 35308755 + ... + 35312445.

It is an arithmetic number, because the mean of its divisors is an integer number (1261833300).

Almost surely, 2130331424600 is an apocalyptic number.

130331424600 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 130331424600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242271993600).

130331424600 is an abundant number, since it is smaller than the sum of its proper divisors (354212562600).

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

130331424600 is a wasteful number, since it uses less digits than its factorization.

130331424600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4232 (or 4217 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 130331424600 its reverse (6424133031), we get a palindrome (136755557631).

It can be divided in two parts, 130331 and 424600, that added together give a triangular number (554931 = T1053).

The spelling of 130331424600 in words is "one hundred thirty billion, three hundred thirty-one million, four hundred twenty-four thousand, six hundred".