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2322013122 = 23311132910369
BaseRepresentation
bin1000101001100111…
…0001101111000010
312222211021111012000
42022121301233002
514223413404442
61022224444430
7111353533362
oct21231615702
95884244160
102322013122
11a91796910
12549779716
132b00b1980
1418055c9a2
15d8cbdd4c
hex8a671bc2

2322013122 has 128 divisors (see below), whose sum is σ = 6271776000. Its totient is φ = 627056640.

The previous prime is 2322013087. The next prime is 2322013207. The reversal of 2322013122 is 2213102232.

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 = 2322013095 and 2322013104.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 218754 + ... + 229122.

It is an arithmetic number, because the mean of its divisors is an integer number (48998250).

Almost surely, 22322013122 is an apocalyptic number.

2322013122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2322013122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3135888000).

2322013122 is an abundant number, since it is smaller than the sum of its proper divisors (3949762878).

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

2322013122 is a wasteful number, since it uses less digits than its factorization.

2322013122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10433 (or 10427 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2322013122 is about 48187.2713691074. The cubic root of 2322013122 is about 1324.2039831540.

Adding to 2322013122 its reverse (2213102232), we get a palindrome (4535115354).

The spelling of 2322013122 in words is "two billion, three hundred twenty-two million, thirteen thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 29 33 39 54 58 66 78 87 99 117 143 174 198 234 261 286 297 319 351 377 429 522 594 638 702 754 783 858 957 1131 1287 1566 1914 2262 2574 2871 3393 3861 4147 5742 6786 7722 8294 8613 10179 10369 12441 17226 20358 20738 24882 31107 37323 62214 74646 93321 111969 114059 134797 186642 223938 228118 269594 279963 300701 342177 404391 559926 601402 684354 808782 902103 1026531 1213173 1482767 1804206 2053062 2426346 2706309 2965534 3079593 3307711 3639519 3909113 4448301 5412618 6159186 6615422 7279038 7818226 8118927 8896602 9923133 11727339 13344903 16237854 19846266 23454678 26689806 29769399 35182017 40034709 43000243 59538798 70364034 80069418 86000486 89308197 105546051 129000729 178616394 211092102 258001458 387002187 774004374 1161006561 2322013122