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130233111120 = 24335717948119
BaseRepresentation
bin111100101001001111…
…1111001001001010000
3110110011011120111222000
41321102133321021100
54113204134023440
6135454523314000
712260204115420
oct1712237711120
9413134514860
10130233111120
1150260217a52
12212a697b900
13c386282bc8
14643642a480
1535c355d730
hex1e527f9250

130233111120 has 320 divisors, whose sum is σ = 515538432000. Its totient is φ = 29600653824.

The previous prime is 130233111109. The next prime is 130233111143. The reversal of 130233111120 is 21111332031.

130233111120 is a `hidden beast` number, since 1 + 302 + 331 + 1 + 11 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 130233111093 and 130233111102.

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 63 ways as a sum of consecutive naturals, for example, 2682421 + ... + 2730539.

It is an arithmetic number, because the mean of its divisors is an integer number (1611057600).

Almost surely, 2130233111120 is an apocalyptic number.

130233111120 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 130233111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257769216000).

130233111120 is an abundant number, since it is smaller than the sum of its proper divisors (385305320880).

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

130233111120 is a wasteful number, since it uses less digits than its factorization.

130233111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48327 (or 48315 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 130233111120 its reverse (21111332031), we get a palindrome (151344443151).

The spelling of 130233111120 in words is "one hundred thirty billion, two hundred thirty-three million, one hundred eleven thousand, one hundred twenty".