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130380327 = 33721117231
BaseRepresentation
bin1111100010101…
…11001000100111
3100002100000012000
413301113020213
5231334132302
620534300343
73142133400
oct761271047
9302300160
10130380327
1167661740
12377b76b3
132101c92c
141345c9a7
15b6a631c
hex7c57227

130380327 has 144 divisors (see below), whose sum is σ = 268784640. Its totient is φ = 61689600.

The previous prime is 130380281. The next prime is 130380373. The reversal of 130380327 is 723083031.

It is an interprime number because it is at equal distance from previous prime (130380281) and next prime (130380373).

It is not a de Polignac number, because 130380327 - 214 = 130363943 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 130380327.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130380377) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4205802 + ... + 4205832.

It is an arithmetic number, because the mean of its divisors is an integer number (1866560).

Almost surely, 2130380327 is an apocalyptic number.

130380327 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

130380327 is an abundant number, since it is smaller than the sum of its proper divisors (138404313).

130380327 is a wasteful number, since it uses less digits than its factorization.

130380327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 130380327 is about 11418.4205124877. The cubic root of 130380327 is about 507.0732361556.

The spelling of 130380327 in words is "one hundred thirty million, three hundred eighty thousand, three hundred twenty-seven".

Divisors: 1 3 7 9 11 17 21 27 31 33 49 51 63 77 93 99 119 147 153 187 189 217 231 279 289 297 341 357 441 459 527 539 561 651 693 833 837 867 1023 1071 1309 1323 1519 1581 1617 1683 1953 2023 2079 2387 2499 2601 3069 3179 3213 3689 3927 4557 4743 4851 5049 5797 5859 6069 7161 7497 7803 8959 9163 9207 9537 11067 11781 13671 14161 14229 14553 16709 17391 18207 21483 22253 22491 25823 26877 27489 28611 33201 35343 40579 41013 42483 50127 52173 54621 62713 64449 66759 77469 80631 82467 85833 98549 99603 121737 127449 150381 155771 156519 188139 200277 232407 241893 247401 284053 295647 365211 382347 438991 451143 467313 564417 600831 689843 697221 852159 886941 1095633 1316973 1401939 1693251 2069529 2556477 2660823 3950919 4205817 4828901 6208587 7669431 11852757 14486703 18625761 43460109 130380327