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11323422220 = 22511177142643
BaseRepresentation
bin10101000101110110…
…11011011000001100
31002020011000110010011
422202323123120030
5141142244002340
65111340123004
7550414333525
oct124273333014
932204013104
1011323422220
11489085a790
122240236464
1310b5c36446
14795c1d84c
154641780ea
hex2a2edb60c

11323422220 has 96 divisors (see below), whose sum is σ = 27854378496. Its totient is φ = 3820723200.

The previous prime is 11323422199. The next prime is 11323422221. The reversal of 11323422220 is 2222432311.

11323422220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 11323422191 and 11323422200.

It is not an unprimeable number, because it can be changed into a prime (11323422221) by changing a digit.

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, 244219 + ... + 286861.

It is an arithmetic number, because the mean of its divisors is an integer number (290149776).

Almost surely, 211323422220 is an apocalyptic number.

11323422220 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 11323422220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13927189248).

11323422220 is an abundant number, since it is smaller than the sum of its proper divisors (16530956276).

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

11323422220 is a wasteful number, since it uses less digits than its factorization.

11323422220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42751 (or 42749 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 11323422220 its reverse (2222432311), we get a palindrome (13545854531).

The spelling of 11323422220 in words is "eleven billion, three hundred twenty-three million, four hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 71 85 110 142 170 187 220 284 340 355 374 710 748 781 935 1207 1420 1562 1870 2414 3124 3740 3905 4828 6035 7810 12070 13277 15620 24140 26554 42643 53108 66385 85286 132770 170572 213215 265540 426430 469073 724931 852860 938146 1449862 1876292 2345365 2899724 3027653 3624655 4690730 6055306 7249310 7974241 9381460 12110612 14498620 15138265 15948482 30276530 31896964 33304183 39871205 51470101 60553060 66608366 79742410 102940202 133216732 159484820 166520915 205880404 257350505 333041830 514701010 566171111 666083660 1029402020 1132342222 2264684444 2830855555 5661711110 11323422220