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130510212 = 22377179277
BaseRepresentation
bin1111100011101…
…10110110000100
3100002120121100120
413301312312010
5231402311322
620541141540
73143214150
oct761666604
9302517316
10130510212
1167740288
123785a8b0
1321066aa1
1413494060
15b6cea5c
hex7c76d84

130510212 has 96 divisors (see below), whose sum is σ = 358686720. Its totient is φ = 36167040.

The previous prime is 130510201. The next prime is 130510213. The reversal of 130510212 is 212015031.

It is a junction number, because it is equal to n+sod(n) for n = 130510191 and 130510200.

It is not an unprimeable number, because it can be changed into a prime (130510213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 471018 + ... + 471294.

It is an arithmetic number, because the mean of its divisors is an integer number (3736320).

Almost surely, 2130510212 is an apocalyptic number.

130510212 is a gapful number since it is divisible by the number (12) 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 130510212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179343360).

130510212 is an abundant number, since it is smaller than the sum of its proper divisors (228176508).

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

130510212 is a wasteful number, since it uses less digits than its factorization.

130510212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 130510212 is about 11424.1066171495. The cubic root of 130510212 is about 507.2415625449.

Adding to 130510212 its reverse (212015031), we get a palindrome (342525243).

The spelling of 130510212 in words is "one hundred thirty million, five hundred ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 71 79 84 142 158 213 237 277 284 316 426 474 497 553 554 831 852 948 994 1106 1108 1491 1659 1662 1939 1988 2212 2982 3318 3324 3878 5609 5817 5964 6636 7756 11218 11634 16827 19667 21883 22436 23268 33654 39263 39334 43766 59001 65649 67308 78526 78668 87532 117789 118002 131298 137669 153181 157052 235578 236004 262596 275338 306362 413007 459543 471156 550676 612724 826014 919086 1553693 1652028 1838172 3107386 4661079 6214772 9322158 10875851 18644316 21751702 32627553 43503404 65255106 130510212