Search a number
-
+
12112013310 = 235829487013
BaseRepresentation
bin10110100011110111…
…01010011111111110
31011021002220000201120
423101323222133332
5144301133411220
65321510251410
7606101262105
oct132173523776
934232800646
1012112013310
115155a08961
122420356b66
1311b04233a7
1482c85903c
154ad4e9a40
hex2d1eea7fe

12112013310 has 32 divisors (see below), whose sum is σ = 29103956640. Its totient is φ = 3225967488.

The previous prime is 12112013269. The next prime is 12112013311. The reversal of 12112013310 is 1331021121.

It is a happy number.

It is a super-2 number, since 2×121120133102 (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 12112013310.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12112013311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 218637 + ... + 268376.

It is an arithmetic number, because the mean of its divisors is an integer number (909498645).

Almost surely, 212112013310 is an apocalyptic number.

12112013310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12112013310 is an abundant number, since it is smaller than the sum of its proper divisors (16991943330).

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

12112013310 is a wasteful number, since it uses less digits than its factorization.

12112013310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487852.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 12112013310 its reverse (1331021121), we get a palindrome (13443034431).

The spelling of 12112013310 in words is "twelve billion, one hundred twelve million, thirteen thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 829 1658 2487 4145 4974 8290 12435 24870 487013 974026 1461039 2435065 2922078 4870130 7305195 14610390 403733777 807467554 1211201331 2018668885 2422402662 4037337770 6056006655 12112013310