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130133233332 = 223216132241049
BaseRepresentation
bin111100100110010001…
…0111000111010110100
3110102220012122012101200
41321030202320322310
54113003101431312
6135440554452500
712254552142504
oct1711442707264
9412805565350
10130133233332
11502098aa323
1221279434130
13c36b682c1b
14642706ba04
1535b98d00dc
hex1e4c8b8eb4

130133233332 has 36 divisors (see below), whose sum is σ = 329151977700. Its totient is φ = 43350832512.

The previous prime is 130133233327. The next prime is 130133233397. The reversal of 130133233332 is 233332331031.

130133233332 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 3 + 323 + 3 + 332 = 666.

130133233332 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 54324421776 + 75808811556 = 233076^2 + 275334^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 130133233296 and 130133233305.

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 11 ways as a sum of consecutive naturals, for example, 1062457 + ... + 1178592.

Almost surely, 2130133233332 is an apocalyptic number.

130133233332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130133233332 is an abundant number, since it is smaller than the sum of its proper divisors (199018744368).

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

130133233332 is a wasteful number, since it uses less digits than its factorization.

130133233332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2242672 (or 2242667 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 130133233332 its reverse (233332331031), we get a palindrome (363465564363).

The spelling of 130133233332 in words is "one hundred thirty billion, one hundred thirty-three million, two hundred thirty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 1613 3226 4839 6452 9678 14517 19356 29034 58068 2241049 4482098 6723147 8964196 13446294 20169441 26892588 40338882 80677764 3614812037 7229624074 10844436111 14459248148 21688872222 32533308333 43377744444 65066616666 130133233332