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12223211310 = 23351723115783
BaseRepresentation
bin10110110001000111…
…10110011100101110
31011112212010110201000
423120203312130232
5200013120230220
65340521501130
7611621403402
oct133043663456
934485113630
1012223211310
115202758632
1224516417a6
1311ca487b1b
1483d523102
154b8162390
hex2d88f672e

12223211310 has 128 divisors (see below), whose sum is σ = 36013455360. Its totient is φ = 2934379008.

The previous prime is 12223211249. The next prime is 12223211383. The reversal of 12223211310 is 1311232221.

12223211310 is a `hidden beast` number, since 12 + 22 + 321 + 1 + 310 = 666.

It is a super-2 number, since 2×122232113102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47679 + ... + 163461.

It is an arithmetic number, because the mean of its divisors is an integer number (281355120).

Almost surely, 212223211310 is an apocalyptic number.

12223211310 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 12223211310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18006727680).

12223211310 is an abundant number, since it is smaller than the sum of its proper divisors (23790244050).

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

12223211310 is a wasteful number, since it uses less digits than its factorization.

12223211310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115839 (or 115833 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12223211310 its reverse (1311232221), we get a palindrome (13534443531).

The spelling of 12223211310 in words is "twelve billion, two hundred twenty-three million, two hundred eleven thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 23 27 30 34 45 46 51 54 69 85 90 102 115 135 138 153 170 207 230 255 270 306 345 391 414 459 510 621 690 765 782 918 1035 1173 1242 1530 1955 2070 2295 2346 3105 3519 3910 4590 5865 6210 7038 10557 11730 17595 21114 35190 52785 105570 115783 231566 347349 578915 694698 1042047 1157830 1736745 1968311 2084094 2663009 3126141 3473490 3936622 5210235 5326018 5904933 6252282 7989027 9841555 10420470 11809866 13315045 15630705 15978054 17714799 19683110 23967081 26630090 29524665 31261410 35429598 39945135 45271153 47934162 53144397 59049330 71901243 79890270 88573995 90542306 106288794 119835405 135813459 143802486 177147990 226355765 239670810 265721985 271626918 359506215 407440377 452711530 531443970 679067295 719012430 814880754 1222321131 1358134590 2037201885 2444642262 4074403770 6111605655 12223211310