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12130010310 = 23511416713381
BaseRepresentation
bin10110100110000000…
…10100010011000110
31011022100202100222010
423103000110103012
5144320240312220
65323352115050
7606410246355
oct132300242306
934270670863
1012130010310
115165090310
122426395a86
1311b4084bc2
14830dc199c
154aeda21e0
hex2d30144c6

12130010310 has 128 divisors (see below), whose sum is σ = 33021209088. Its totient is φ = 2825856000.

The previous prime is 12130010303. The next prime is 12130010311. The reversal of 12130010310 is 1301003121.

It is a super-2 number, since 2×121300103102 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12130010311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 899820 + ... + 913200.

It is an arithmetic number, because the mean of its divisors is an integer number (257978196).

Almost surely, 212130010310 is an apocalyptic number.

12130010310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12130010310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16510604544).

12130010310 is an abundant number, since it is smaller than the sum of its proper divisors (20891198778).

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

12130010310 is a wasteful number, since it uses less digits than its factorization.

12130010310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13510.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 12130010310 its reverse (1301003121), we get a palindrome (13431013431).

The spelling of 12130010310 in words is "twelve billion, one hundred thirty million, ten thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 41 55 66 67 82 110 123 134 165 201 205 246 330 335 402 410 451 615 670 737 902 1005 1230 1353 1474 2010 2211 2255 2706 2747 3685 4422 4510 5494 6765 7370 8241 11055 13381 13530 13735 16482 22110 26762 27470 30217 40143 41205 60434 66905 80286 82410 90651 133810 147191 151085 181302 200715 294382 302170 401430 441573 453255 548621 735955 883146 896527 906510 1097242 1471910 1645863 1793054 2207865 2689581 2743105 3291726 4415730 4482635 5379162 5486210 6034831 8229315 8965270 9861797 12069662 13447905 16458630 18104493 19723594 26895810 29585391 30174155 36208986 36757607 49308985 59170782 60348310 73515214 90522465 98617970 110272821 147926955 181044930 183788035 220545642 295853910 367576070 404333677 551364105 808667354 1102728210 1213001031 2021668385 2426002062 4043336770 6065005155 12130010310