Search a number
-
+
11131313411142 = 2327011125778367
BaseRepresentation
bin1010000111111011010111…
…1110110101010001000110
31110102010212101000010022100
42201332311332311101012
52424333412213124032
635401353233412530
72226132215565561
oct241766576652106
943363771003270
1011131313411142
1136018442562a1
1212b93a640a146
136298a844ac32
142a6a892534d8
1514483e9ab97c
hexa1fb5fb5446

11131313411142 has 48 divisors (see below), whose sum is σ = 24154704392832. Its totient is φ = 3704768323200.

The previous prime is 11131313411111. The next prime is 11131313411167. The reversal of 11131313411142 is 24111431313111.

11131313411142 is a `hidden beast` number, since 1 + 1 + 1 + 313 + 1 + 341 + 1 + 1 + 4 + 2 = 666.

It is a super-2 number, since 2×111313134111422 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142001643 + ... + 142080009.

It is an arithmetic number, because the mean of its divisors is an integer number (503223008184).

Almost surely, 211131313411142 is an apocalyptic number.

11131313411142 is an abundant number, since it is smaller than the sum of its proper divisors (13023390981690).

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

11131313411142 is a wasteful number, since it uses less digits than its factorization.

11131313411142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90333 (or 90330 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

Adding to 11131313411142 its reverse (24111431313111), we get a palindrome (35242744724253).

The spelling of 11131313411142 in words is "eleven trillion, one hundred thirty-one billion, three hundred thirteen million, four hundred eleven thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 701 1402 2103 4206 6309 11257 12618 22514 33771 67542 78367 101313 156734 202626 235101 470202 705303 1410606 7891157 15782314 23673471 47346942 54935267 71020413 109870534 142040826 164805801 329611602 494417403 882177319 988834806 1764354638 2646531957 5293063914 7939595871 15879191742 618406300619 1236812601238 1855218901857 3710437803714 5565656705571 11131313411142