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130023330000 = 2435461227313
BaseRepresentation
bin111100100010111111…
…1101001000011010000
3110102121112211112100220
41321011333221003100
54112241433030000
6135422031113040
712252046032564
oct1710577510320
9412545745326
10130023330000
1150162864323
1221248672780
13c351982875
14641661d6a4
1535aee211a0
hex1e45fe90d0

130023330000 has 400 divisors, whose sum is σ = 429861850176. Its totient is φ = 33845760000.

The previous prime is 130023329993. The next prime is 130023330079. The reversal of 130023330000 is 33320031.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 415409844 + ... + 415410156.

Almost surely, 2130023330000 is an apocalyptic number.

130023330000 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 130023330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214930925088).

130023330000 is an abundant number, since it is smaller than the sum of its proper divisors (299838520176).

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

130023330000 is a wasteful number, since it uses less digits than its factorization.

130023330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 15.

Adding to 130023330000 its reverse (33320031), we get a palindrome (130056650031).

The spelling of 130023330000 in words is "one hundred thirty billion, twenty-three million, three hundred thirty thousand".