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11142540330 = 2355313275281
BaseRepresentation
bin10100110000010010…
…11010110000101010
31001202112122200210220
422120021122300222
5140304442242310
65041355150510
7543060013215
oct123011326052
931675580726
1011142540330
1147a8745519
1221ab745436
13108761403c
14779bb677c
15453348670
hex29825ac2a

11142540330 has 64 divisors (see below), whose sum is σ = 27272360448. Its totient is φ = 2912532480.

The previous prime is 11142540323. The next prime is 11142540373. The reversal of 11142540330 is 3304524111.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 11142540330.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2107290 + ... + 2112570.

It is an arithmetic number, because the mean of its divisors is an integer number (426130632).

Almost surely, 211142540330 is an apocalyptic number.

11142540330 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 11142540330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13636180224).

11142540330 is an abundant number, since it is smaller than the sum of its proper divisors (16129820118).

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

11142540330 is a wasteful number, since it uses less digits than its factorization.

11142540330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6671.

The product of its (nonzero) digits is 1440, while the sum is 24.

The spelling of 11142540330 in words is "eleven billion, one hundred forty-two million, five hundred forty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 53 106 159 265 318 530 795 1327 1590 2654 3981 5281 6635 7962 10562 13270 15843 19905 26405 31686 39810 52810 70331 79215 140662 158430 210993 279893 351655 421986 559786 703310 839679 1054965 1399465 1679358 2109930 2798930 4198395 7007887 8396790 14015774 21023661 35039435 42047322 70078870 105118305 210236610 371418011 742836022 1114254033 1857090055 2228508066 3714180110 5571270165 11142540330