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11122230020 = 225111632691153
BaseRepresentation
bin10100101101110111…
…11100001100000100
31001201010102211022012
422112323330030010
5140234242330040
65035351553352
7542422252406
oct122673741404
931633384265
1011122230020
114798233040
1221a498b858
1310833525c5
1477720ab76
15451685865
hex296efc304

11122230020 has 96 divisors (see below), whose sum is σ = 25753956480. Its totient is φ = 4001218560.

The previous prime is 11122229981. The next prime is 11122230043. The reversal of 11122230020 is 2003222111.

It is a happy number.

11122230020 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 = 11122229977 and 11122230004.

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 31 ways as a sum of consecutive naturals, for example, 9645764 + ... + 9646916.

It is an arithmetic number, because the mean of its divisors is an integer number (268270380).

Almost surely, 211122230020 is an apocalyptic number.

11122230020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11122230020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12876978240).

11122230020 is an abundant number, since it is smaller than the sum of its proper divisors (14631726460).

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

11122230020 is a wasteful number, since it uses less digits than its factorization.

11122230020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1605 (or 1603 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 11122230020 its reverse (2003222111), we get a palindrome (13125452131).

It can be divided in two parts, 11122 and 230020, that added together give a palindrome (241142).

The spelling of 11122230020 in words is "eleven billion, one hundred twenty-two million, two hundred thirty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 163 220 269 326 538 652 815 1076 1153 1345 1630 1793 2306 2690 2959 3260 3586 4612 5380 5765 5918 7172 8965 11530 11836 12683 14795 17930 23060 25366 29590 35860 43847 50732 59180 63415 87694 126830 175388 187939 219235 253660 310157 375878 438470 482317 620314 751756 876940 939695 964634 1240628 1550785 1879390 1929268 2067329 2411585 3101570 3411727 3758780 4134658 4823170 6203140 6823454 8269316 9646340 10336645 13646908 17058635 20673290 34117270 41346580 50555591 68234540 101111182 202222364 252777955 505555910 556111501 1011111820 1112223002 2224446004 2780557505 5561115010 11122230020