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11322120222 = 234727120089
BaseRepresentation
bin10101000101101100…
…11101100000011110
31002020001120022010000
422202312131200132
5141141430321342
65111252155130
7550400301600
oct124266354036
932201508100
1011322120222
114890050556
12223b908aa6
1310b589b92a
147959a1170
15463ebc44c
hex2a2d9d81e

11322120222 has 120 divisors (see below), whose sum is σ = 29929117680. Its totient is φ = 3189170880.

The previous prime is 11322120179. The next prime is 11322120247. The reversal of 11322120222 is 22202122311.

11322120222 is a `hidden beast` number, since 1 + 1 + 322 + 120 + 222 = 666.

11322120222 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 11322120195 and 11322120204.

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 553554 + ... + 573642.

It is an arithmetic number, because the mean of its divisors is an integer number (249409314).

Almost surely, 211322120222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11322120222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14964558840).

11322120222 is an abundant number, since it is smaller than the sum of its proper divisors (18606997458).

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

11322120222 is a wasteful number, since it uses less digits than its factorization.

11322120222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20188 (or 20172 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 11322120222 its reverse (22202122311), we get a palindrome (33524242533).

The spelling of 11322120222 in words is "eleven billion, three hundred twenty-two million, one hundred twenty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 71 81 98 126 142 147 162 189 213 294 378 426 441 497 567 639 882 994 1134 1278 1323 1491 1917 2646 2982 3479 3834 3969 4473 5751 6958 7938 8946 10437 11502 13419 20089 20874 26838 31311 40178 40257 60267 62622 80514 93933 120534 140623 180801 187866 281246 281799 361602 421869 542403 563598 843738 984361 1084806 1265607 1426319 1627209 1968722 2531214 2852638 2953083 3254418 3796821 4278957 5906166 7593642 8557914 8859249 9984233 11390463 12836871 17718498 19968466 22780926 25673742 26577747 29952699 38510613 53155494 59905398 69889631 77021226 79733241 89858097 115531839 139779262 159466482 179716194 209668893 231063678 269574291 419337786 539148582 629006679 808722873 1258013358 1617445746 1887020037 3774040074 5661060111 11322120222