Search a number
-
+
12201101010 = 2335773191463
BaseRepresentation
bin10110101110011111…
…00000011011010010
31011111022112011002000
423113033200123102
5144441440213020
65334411534430
7611232435030
oct132717403322
934438464060
1012201101010
1151a122685a
12244615a416
1311c5a15cc7
1483a609550
154b6246090
hex2d73e06d2

12201101010 has 256 divisors, whose sum is σ = 37972869120. Its totient is φ = 2730309120.

The previous prime is 12201100987. The next prime is 12201101027. The reversal of 12201101010 is 1010110221.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 12201100983 and 12201101001.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26352039 + ... + 26352501.

It is an arithmetic number, because the mean of its divisors is an integer number (148331520).

Almost surely, 212201101010 is an apocalyptic number.

12201101010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12201101010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18986434560).

12201101010 is an abundant number, since it is smaller than the sum of its proper divisors (25771768110).

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

12201101010 is a wasteful number, since it uses less digits than its factorization.

12201101010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12201101010 its reverse (1010110221), we get a palindrome (13211211231).

The spelling of 12201101010 in words is "twelve billion, two hundred one million, one hundred one thousand, ten".