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12242324310 = 2352323720849
BaseRepresentation
bin10110110011011001…
…10000101101010110
31011121012002111210220
423121230300231112
5200033013334220
65342443255210
7612243016416
oct133154605526
934535074726
1012242324310
1152125224a7
122457b1a506
13120141a5a8
14841c9a646
154b9b8a540
hex2d9b30b56

12242324310 has 96 divisors (see below), whose sum is σ = 31546216800. Its totient is φ = 3038137344.

The previous prime is 12242324309. The next prime is 12242324317. The reversal of 12242324310 is 1342324221.

It is a happy number.

It is a super-2 number, since 2×122423243102 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12242324317) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 576766 + ... + 597614.

It is an arithmetic number, because the mean of its divisors is an integer number (328606425).

Almost surely, 212242324310 is an apocalyptic number.

12242324310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12242324310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15773108400).

12242324310 is an abundant number, since it is smaller than the sum of its proper divisors (19303892490).

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

12242324310 is a wasteful number, since it uses less digits than its factorization.

12242324310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20942 (or 20919 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 12242324310 its reverse (1342324221), we get a palindrome (13584648531).

The spelling of 12242324310 in words is "twelve billion, two hundred forty-two million, three hundred twenty-four thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 23 30 37 46 69 74 111 115 138 185 222 230 345 370 529 555 690 851 1058 1110 1587 1702 2553 2645 3174 4255 5106 5290 7935 8510 12765 15870 19573 20849 25530 39146 41698 58719 62547 97865 104245 117438 125094 195730 208490 293595 312735 479527 587190 625470 771413 959054 1438581 1542826 2314239 2397635 2877162 3857065 4628478 4795270 7192905 7714130 11029121 11571195 14385810 17742499 22058242 23142390 33087363 35484998 53227497 55145605 66174726 88712495 106454994 110291210 165436815 177424990 266137485 330873630 408077477 532274970 816154954 1224232431 2040387385 2448464862 4080774770 6121162155 12242324310