Search a number
-
+
11131221010 = 2571325914721
BaseRepresentation
bin10100101110111100…
…01111010000010010
31001201202100121121211
422113132033100102
5140244043033020
65040312410334
7542561550250
oct122736172022
931652317554
1011131221010
1147a2314108
1221a79a69aa
13108517cb10
147784ab5d0
1545235e85a
hex29778f412

11131221010 has 64 divisors (see below), whose sum is σ = 24674678784. Its totient is φ = 3520742400.

The previous prime is 11131220987. The next prime is 11131221037. The reversal of 11131221010 is 1012213111.

It is a happy number.

11131221010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2355450 + ... + 2360170.

It is an arithmetic number, because the mean of its divisors is an integer number (385541856).

Almost surely, 211131221010 is an apocalyptic number.

11131221010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11131221010 is an abundant number, since it is smaller than the sum of its proper divisors (13543457774).

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

11131221010 is a wasteful number, since it uses less digits than its factorization.

11131221010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7339.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 11131221010 its reverse (1012213111), we get a palindrome (12143434121).

The spelling of 11131221010 in words is "eleven billion, one hundred thirty-one million, two hundred twenty-one thousand, ten".

Divisors: 1 2 5 7 10 13 14 26 35 65 70 91 130 182 455 910 2591 4721 5182 9442 12955 18137 23605 25910 33047 33683 36274 47210 61373 66094 67366 90685 122746 165235 168415 181370 235781 306865 330470 336830 429611 471562 613730 859222 1178905 2148055 2357810 4296110 12232111 24464222 61160555 85624777 122321110 159017443 171249554 318034886 428123885 795087215 856247770 1113122101 1590174430 2226244202 5565610505 11131221010