Search a number
-
+
12220202310 = 2351723961181
BaseRepresentation
bin10110110000110000…
…10111110101000110
31011112122110121010120
423120120113311012
5200011332433220
65340333202410
7611554001661
oct133030276506
934478417116
1012220202310
115200a92958
122450630406
1311c9973354
1483cd7c6d8
154b7c6aa40
hex2d8617d46

12220202310 has 32 divisors (see below), whose sum is σ = 31053691872. Its totient is φ = 3067031040.

The previous prime is 12220202257. The next prime is 12220202311. The reversal of 12220202310 is 1320202221.

It is a happy number.

12220202310 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 2×122202023102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12220202310.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12220202311) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 11980081 + ... + 11981100.

It is an arithmetic number, because the mean of its divisors is an integer number (970427871).

Almost surely, 212220202310 is an apocalyptic number.

12220202310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12220202310 is an abundant number, since it is smaller than the sum of its proper divisors (18833489562).

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

12220202310 is a wasteful number, since it uses less digits than its factorization.

12220202310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23961208.

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 12220202310 its reverse (1320202221), we get a palindrome (13540404531).

The spelling of 12220202310 in words is "twelve billion, two hundred twenty million, two hundred two thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 510 23961181 47922362 71883543 119805905 143767086 239611810 359417715 407340077 718835430 814680154 1222020231 2036700385 2444040462 4073400770 6110101155 12220202310