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130449223188 = 223223473333287
BaseRepresentation
bin111100101111101100…
…0010010111000010100
3110110201020020010222200
41321133120102320110
54114130000120223
6135532203324500
712265440046644
oct1713730227024
9413636203880
10130449223188
1150361205169
1221347220730
13c3bbc8ba7b
146457004524
1535d74eba43
hex1e5f612e14

130449223188 has 72 divisors (see below), whose sum is σ = 344166496128. Its totient is φ = 41582468928.

The previous prime is 130449223187. The next prime is 130449223217. The reversal of 130449223188 is 881322944031.

130449223188 is a `hidden beast` number, since 1 + 3 + 0 + 449 + 2 + 23 + 188 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130449223183) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3902281 + ... + 3935567.

It is an arithmetic number, because the mean of its divisors is an integer number (4780090224).

Almost surely, 2130449223188 is an apocalyptic number.

130449223188 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

130449223188 is an abundant number, since it is smaller than the sum of its proper divisors (213717272940).

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

130449223188 is a wasteful number, since it uses less digits than its factorization.

130449223188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38053 (or 38048 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 130449223188 in words is "one hundred thirty billion, four hundred forty-nine million, two hundred twenty-three thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 4733 9466 14199 18932 28398 33287 42597 56796 66574 85194 99861 108859 133148 170388 199722 217718 299583 326577 399444 435436 599166 653154 765601 979731 1198332 1306308 1531202 1959462 2296803 3062404 3918924 4593606 6890409 9187212 13780818 27561636 157547371 315094742 472642113 630189484 945284226 1417926339 1890568452 2835852678 3623589533 5671705356 7247179066 10870768599 14494358132 21741537198 32612305797 43483074396 65224611594 130449223188