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130033320120 = 2332511142723011
BaseRepresentation
bin111100100011010010…
…1110000000010111000
3110102122020122002020100
41321012211300002320
54112302012220440
6135423025155400
712252226661364
oct1710645600270
9412566562210
10130033320120
1150168468020
122124ba8bb60
13c353a6ca92
146417aa02a4
1535b0c46230
hex1e469700b8

130033320120 has 192 divisors, whose sum is σ = 461370349440. Its totient is φ = 31499769600.

The previous prime is 130033320101. The next prime is 130033320133. The reversal of 130033320120 is 21023330031.

130033320120 is a `hidden beast` number, since 1 + 300 + 33 + 320 + 12 + 0 = 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 = 130033320093 and 130033320102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5639415 + ... + 5662425.

It is an arithmetic number, because the mean of its divisors is an integer number (2402970570).

Almost surely, 2130033320120 is an apocalyptic number.

130033320120 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 130033320120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230685174720).

130033320120 is an abundant number, since it is smaller than the sum of its proper divisors (331337029320).

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

130033320120 is a wasteful number, since it uses less digits than its factorization.

130033320120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24466 (or 24459 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 130033320120 its reverse (21023330031), we get a palindrome (151056650151).

The spelling of 130033320120 in words is "one hundred thirty billion, thirty-three million, three hundred twenty thousand, one hundred twenty".