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2323011012 = 2237229592309
BaseRepresentation
bin1000101001110110…
…0101010111000100
312222220011012000220
42022131211113010
514224142323022
61022302104340
7111365160600
oct21235452704
95886135026
102323011012
11a92308613
12549b7b0b0
132b0370c3a
1418073c500
15d8e1985c
hex8a7655c4

2323011012 has 144 divisors (see below), whose sum is σ = 6636168000. Its totient is φ = 629696256.

The previous prime is 2323011007. The next prime is 2323011023. The reversal of 2323011012 is 2101103232.

It is a junction number, because it is equal to n+sod(n) for n = 2323010982 and 2323011000.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1004914 + ... + 1007222.

It is an arithmetic number, because the mean of its divisors is an integer number (46084500).

Almost surely, 22323011012 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 2323011012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3318084000).

2323011012 is an abundant number, since it is smaller than the sum of its proper divisors (4313156988).

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

2323011012 is a wasteful number, since it uses less digits than its factorization.

2323011012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2418 (or 2409 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2323011012 is about 48197.6245472741. The cubic root of 2323011012 is about 1324.3936491314.

Adding to 2323011012 its reverse (2101103232), we get a palindrome (4424114244).

The spelling of 2323011012 in words is "two billion, three hundred twenty-three million, eleven thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 49 58 59 84 87 98 116 118 147 174 177 196 203 236 294 348 354 406 413 588 609 708 812 826 1218 1239 1421 1652 1711 2309 2436 2478 2842 2891 3422 4263 4618 4956 5133 5684 5782 6844 6927 8526 8673 9236 10266 11564 11977 13854 16163 17052 17346 20532 23954 27708 32326 34692 35931 47908 48489 64652 66961 71862 83839 96978 113141 133922 136231 143724 167678 193956 200883 226282 251517 267844 272462 335356 339423 401766 408693 452564 468727 503034 544924 678846 803532 817386 937454 953617 1006068 1357692 1406181 1634772 1874908 1907234 2812362 2860851 3281089 3814468 3950699 5624724 5721702 6562178 6675319 7901398 9843267 11443404 11852097 13124356 13350638 15802796 19686534 20025957 23704194 26701276 27654893 39373068 40051914 47408388 55309786 80103828 82964679 110619572 165929358 193584251 331858716 387168502 580752753 774337004 1161505506 2323011012