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11212341330 = 23517315313381
BaseRepresentation
bin10100111000100111…
…01100000001010010
31001221101222221210010
422130103230001102
5140430324410310
65052331215350
7544565220531
oct123423540122
931841887703
1011212341330
11483408aaa3
12220aba7556
131098c130c8
14785186318
15459535320
hex29c4ec052

11212341330 has 128 divisors (see below), whose sum is σ = 29968828416. Its totient is φ = 2671718400.

The previous prime is 11212341319. The next prime is 11212341377. The reversal of 11212341330 is 3314321211.

It is a junction number, because it is equal to n+sod(n) for n = 11212341297 and 11212341306.

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, 831240 + ... + 844620.

It is an arithmetic number, because the mean of its divisors is an integer number (234131472).

Almost surely, 211212341330 is an apocalyptic number.

11212341330 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 11212341330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14984414208).

11212341330 is an abundant number, since it is smaller than the sum of its proper divisors (18756487086).

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

11212341330 is a wasteful number, since it uses less digits than its factorization.

11212341330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13492.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 11212341330 its reverse (3314321211), we get a palindrome (14526662541).

The spelling of 11212341330 in words is "eleven billion, two hundred twelve million, three hundred forty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 31 34 51 53 62 85 93 102 106 155 159 170 186 255 265 310 318 465 510 527 530 795 901 930 1054 1581 1590 1643 1802 2635 2703 3162 3286 4505 4929 5270 5406 7905 8215 9010 9858 13381 13515 15810 16430 24645 26762 27030 27931 40143 49290 55862 66905 80286 83793 133810 139655 167586 200715 227477 279310 401430 414811 418965 454954 682431 709193 829622 837930 1137385 1244433 1364862 1418386 2074055 2127579 2274770 2488866 3412155 3545965 4148110 4255158 6222165 6824310 7051787 7091930 10637895 12056281 12444330 14103574 21155361 21275790 21984983 24112562 35258935 36168843 42310722 43969966 60281405 65954949 70517870 72337686 105776805 109924915 120562810 131909898 180844215 211553610 219849830 329774745 361688430 373744711 659549490 747489422 1121234133 1868723555 2242468266 3737447110 5606170665 11212341330