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11341340322 = 231317137149419
BaseRepresentation
bin10101000111111111…
…10001111010100010
31002021101201210010120
422203333301322202
5141211340342242
65113220141110
7551022542064
oct124377617242
932241653116
1011341340322
11489a988934
122246237796
1310b986b080
14798365734
15465a171ec
hex2a3ff1ea2

11341340322 has 128 divisors (see below), whose sum is σ = 26290656000. Its totient is φ = 3230785536.

The previous prime is 11341340317. The next prime is 11341340323. The reversal of 11341340322 is 22304314311.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11341340292 and 11341340301.

It is not an unprimeable number, because it can be changed into a prime (11341340323) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27067429 + ... + 27067847.

It is an arithmetic number, because the mean of its divisors is an integer number (205395750).

Almost surely, 211341340322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11341340322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13145328000).

11341340322 is an abundant number, since it is smaller than the sum of its proper divisors (14949315678).

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

11341340322 is a wasteful number, since it uses less digits than its factorization.

11341340322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 11341340322 its reverse (22304314311), we get a palindrome (33645654633).

It can be divided in two parts, 113413 and 40322, that added together give a triangular number (153735 = T554).

The spelling of 11341340322 in words is "eleven billion, three hundred forty-one million, three hundred forty thousand, three hundred twenty-two".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 137 149 221 274 298 411 419 442 447 663 822 838 894 1257 1326 1781 1937 2329 2514 2533 3562 3874 4658 5066 5343 5447 5811 6987 7123 7599 10686 10894 11622 13974 14246 15198 16341 20413 21369 30277 32682 32929 40826 42738 57403 60554 61239 62431 65858 90831 92599 98787 114806 122478 124862 172209 181662 185198 187293 197574 265369 277797 344418 347021 374586 530738 555594 694042 746239 796107 811603 975851 1041063 1061327 1492478 1592214 1623206 1951702 2082126 2122654 2238717 2434809 2927553 3183981 4477434 4511273 4869618 5855106 6367962 8553047 9022546 12686063 13533819 13797251 17106094 25372126 25659141 27067638 27594502 38058189 41391753 51318282 76116378 82783506 111189611 145401799 222379222 290803598 333568833 436205397 667137666 872410794 1890223387 3780446774 5670670161 11341340322