Search a number
-
+
12200320353 = 3132313601249
BaseRepresentation
bin10110101110011001…
…00001110101100001
31011111021001111012210
423113030201311201
5144441240222403
65334343112333
7611223004044
oct132714416541
934437044183
1012200320353
1151a0843291
122445a426a9
1311c5801890
1483a484c5b
154b613eb03
hex2d7321d61

12200320353 has 16 divisors (see below), whose sum is σ = 18280080000. Its totient is φ = 7181458944.

The previous prime is 12200320309. The next prime is 12200320367. The reversal of 12200320353 is 35302300221.

12200320353 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12200320353 - 218 = 12200058209 is a prime.

It is a super-3 number, since 3×122003203533 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (12200320303) 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, 6799728 + ... + 6801521.

It is an arithmetic number, because the mean of its divisors is an integer number (1142505000).

Almost surely, 212200320353 is an apocalyptic number.

12200320353 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12200320353 is a deficient number, since it is larger than the sum of its proper divisors (6079759647).

12200320353 is a wasteful number, since it uses less digits than its factorization.

12200320353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13601288.

The product of its (nonzero) digits is 1080, while the sum is 21.

Adding to 12200320353 its reverse (35302300221), we get a palindrome (47502620574).

The spelling of 12200320353 in words is "twelve billion, two hundred million, three hundred twenty thousand, three hundred fifty-three".

Divisors: 1 3 13 23 39 69 299 897 13601249 40803747 176816237 312828727 530448711 938486181 4066773451 12200320353