Search a number
-
+
11220331022296 = 2311833374558427
BaseRepresentation
bin1010001101000110111111…
…0110000100011111011000
31110201122122011100022021121
42203101233312010133120
52432313214220203141
635510314322015024
72235433156030654
oct243215766043730
943648564308247
1011220331022296
113636574392080
1213126aa1a7474
136350c388b026
142ab0d18a9a64
15146cee9851d1
hexa346fd847d8

11220331022296 has 64 divisors (see below), whose sum is σ = 23296119799680. Its totient is φ = 5023750126080.

The previous prime is 11220331022291. The next prime is 11220331022377. The reversal of 11220331022296 is 69222013302211.

It is a super-2 number, since 2×112203310222962 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11220331022291) 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, 182235 + ... + 4740661.

It is an arithmetic number, because the mean of its divisors is an integer number (364001871870).

Almost surely, 211220331022296 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 11220331022296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11648059899840).

11220331022296 is an abundant number, since it is smaller than the sum of its proper divisors (12075788777384).

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

11220331022296 is a wasteful number, since it uses less digits than its factorization.

11220331022296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4558864 (or 4558860 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The spelling of 11220331022296 in words is "eleven trillion, two hundred twenty billion, three hundred thirty-one million, twenty-two thousand, two hundred ninety-six".

Divisors: 1 2 4 8 11 22 44 83 88 166 332 337 664 674 913 1348 1826 2696 3652 3707 7304 7414 14828 27971 29656 55942 111884 223768 307681 615362 1230724 2461448 4558427 9116854 18233708 36467416 50142697 100285394 200570788 378349441 401141576 756698882 1513397764 1536189899 3026795528 3072379798 4161843851 6144759596 8323687702 12289519192 16647375404 16898088889 33294750808 33796177778 67592355556 127503761617 135184711112 255007523234 510015046468 1020030092936 1402541377787 2805082755574 5610165511148 11220331022296