Search a number
-
+
12101000310 = 2325722743991
BaseRepresentation
bin10110100010100011…
…01001110001110110
31011020100011111201200
423101101221301312
5144240324002220
65320434233330
7605605543200
oct132121516166
934210144650
1012101000310
11514a776703
122418725846
1311ab068719
1482b1cd770
154ac571890
hex2d1469c76

12101000310 has 72 divisors (see below), whose sum is σ = 36599365296. Its totient is φ = 2765941920.

The previous prime is 12101000237. The next prime is 12101000321. The reversal of 12101000310 is 1300010121.

12101000310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×121010003102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12101000292 and 12101000301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1367586 + ... + 1376405.

It is an arithmetic number, because the mean of its divisors is an integer number (508324518).

Almost surely, 212101000310 is an apocalyptic number.

12101000310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12101000310 is an abundant number, since it is smaller than the sum of its proper divisors (24498364986).

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

12101000310 is a wasteful number, since it uses less digits than its factorization.

12101000310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2744018 (or 2744008 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 12101000310 its reverse (1300010121), we get a palindrome (13401010431).

The spelling of 12101000310 in words is "twelve billion, one hundred one million, three hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 441 490 630 735 882 1470 2205 4410 2743991 5487982 8231973 13719955 16463946 19207937 24695919 27439910 38415874 41159865 49391838 57623811 82319730 96039685 115247622 123479595 134455559 172871433 192079370 246959190 268911118 288119055 345742866 403366677 576238110 672277795 806733354 864357165 1210100031 1344555590 1728714330 2016833385 2420200062 4033666770 6050500155 12101000310