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11202022312 = 23131012294657
BaseRepresentation
bin10100110111011000…
…10100101110101000
31001220200120200202021
422123230110232220
5140420204203222
65051322114224
7544411422115
oct123354245650
931820520667
1011202022312
114829282188
12220764b974
131096a3c290
14783a5b90c
15458697ac7
hex29bb14ba8

11202022312 has 64 divisors (see below), whose sum is σ = 22948102800. Its totient is φ = 5095526400.

The previous prime is 11202022243. The next prime is 11202022339. The reversal of 11202022312 is 21322020211.

It is a happy number.

11202022312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 7173073636 + 4028948676 = 84694^2 + 63474^2 .

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 15 ways as a sum of consecutive naturals, for example, 2403088 + ... + 2407744.

Almost surely, 211202022312 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 11202022312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11474051400).

11202022312 is an abundant number, since it is smaller than the sum of its proper divisors (11746080488).

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

11202022312 is a wasteful number, since it uses less digits than its factorization.

11202022312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5006 (or 5002 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 11202022312 its reverse (21322020211), we get a palindrome (32524042523).

The spelling of 11202022312 in words is "eleven billion, two hundred two million, twenty-two thousand, three hundred twelve".

Divisors: 1 2 4 8 13 26 52 101 104 202 229 404 458 808 916 1313 1832 2626 2977 4657 5252 5954 9314 10504 11908 18628 23129 23816 37256 46258 60541 92516 121082 185032 242164 300677 470357 484328 601354 940714 1066453 1202708 1881428 2132906 2405416 3762856 4265812 6114641 8531624 12229282 13863889 24458564 27727778 48917128 55455556 107711753 110911112 215423506 430847012 861694024 1400252789 2800505578 5601011156 11202022312