Search a number
-
+
12202110112 = 256111515431
BaseRepresentation
bin10110101110100110…
…10110110010100000
31011111101102102022011
423113103112302200
5144442220010422
65334445322304
7611244140023
oct132723266240
934441372264
1012202110112
1151a1855a25
122446566394
1311c5caa3ca
1483a7cd1ba
154b6395077
hex2d74d6ca0

12202110112 has 48 divisors (see below), whose sum is σ = 24442435584. Its totient is φ = 5994720000.

The previous prime is 12202110097. The next prime is 12202110143. The reversal of 12202110112 is 21101120221.

12202110112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12202110092 and 12202110101.

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 7 ways as a sum of consecutive naturals, for example, 2244037 + ... + 2249467.

It is an arithmetic number, because the mean of its divisors is an integer number (509217408).

Almost surely, 212202110112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12202110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12221217792).

12202110112 is an abundant number, since it is smaller than the sum of its proper divisors (12240325472).

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

12202110112 is a wasteful number, since it uses less digits than its factorization.

12202110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6653 (or 6645 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12202110112 its reverse (21101120221), we get a palindrome (33303230333).

The spelling of 12202110112 in words is "twelve billion, two hundred two million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 61 122 244 488 976 1151 1952 2302 4604 5431 9208 10862 18416 21724 36832 43448 70211 86896 140422 173792 280844 331291 561688 662582 1123376 1325164 2246752 2650328 5300656 6251081 10601312 12502162 25004324 50008648 100017296 200034592 381315941 762631882 1525263764 3050527528 6101055056 12202110112