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11240010135310 = 25112918119466929
BaseRepresentation
bin1010001110010000010011…
…0011111011011100001110
31110210112102122001211100011
42203210010303323130032
52433124020043312220
635523331145423434
72240030633523205
oct243440463733416
943715378054304
1011240010135310
113643952770a40
12131648079ab7a
13636c0b933ab8
142ac03b30223c
151475a246865a
hexa3904cfb70e

11240010135310 has 64 divisors (see below), whose sum is σ = 22958518564800. Its totient is φ = 3924532684800.

The previous prime is 11240010135287. The next prime is 11240010135331. The reversal of 11240010135310 is 1353101004211.

It is a happy number.

11240010135310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×112400101353102 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

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, 9156075 + ... + 10310854.

It is an arithmetic number, because the mean of its divisors is an integer number (358726852575).

Almost surely, 211240010135310 is an apocalyptic number.

11240010135310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11240010135310 is an abundant number, since it is smaller than the sum of its proper divisors (11718508429490).

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

11240010135310 is a wasteful number, since it uses less digits than its factorization.

11240010135310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19467157.

The product of its (nonzero) digits is 360, while the sum is 22.

Adding to 11240010135310 its reverse (1353101004211), we get a palindrome (12593111139521).

The spelling of 11240010135310 in words is "eleven trillion, two hundred forty billion, ten million, one hundred thirty-five thousand, three hundred ten".

Divisors: 1 2 5 10 11 22 29 55 58 110 145 181 290 319 362 638 905 1595 1810 1991 3190 3982 5249 9955 10498 19910 26245 52490 57739 115478 288695 577390 19466929 38933858 97334645 194669290 214136219 428272438 564540941 1070681095 1129081882 2141362190 2822704705 3523514149 5645409410 6209950351 7047028298 12419900702 17617570745 31049751755 35235141490 38758655639 62099503510 77517311278 102181910321 193793278195 204363820642 387586556390 510909551605 1021819103210 1124001013531 2248002027062 5620005067655 11240010135310