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11311310142 = 2321127371143
BaseRepresentation
bin10101000100011010…
…01110010100111110
31002012022020002110200
422202031032110332
5141131143411032
65110224344330
7550206356406
oct124215162476
932168202420
1011311310142
114884a37800
1222381750a6
1310b3585432
14794389806
1546308447c
hex2a234e53e

11311310142 has 72 divisors (see below), whose sum is σ = 27307770672. Its totient is φ = 3380667840.

The previous prime is 11311310119. The next prime is 11311310159. The reversal of 11311310142 is 24101311311.

It is a happy number.

11311310142 is a `hidden beast` number, since 1 + 1 + 311 + 310 + 1 + 42 = 666.

11311310142 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 (18).

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 123423 + ... + 194565.

Almost surely, 211311310142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11311310142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13653885336).

11311310142 is an abundant number, since it is smaller than the sum of its proper divisors (15996460530).

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

11311310142 is a wasteful number, since it uses less digits than its factorization.

11311310142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71246 (or 71232 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 11311310142 its reverse (24101311311), we get a palindrome (35412621453).

The spelling of 11311310142 in words is "eleven billion, three hundred eleven million, three hundred ten thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 73 99 121 146 198 219 242 363 438 657 726 803 1089 1314 1606 2178 2409 4818 7227 8833 14454 17666 26499 52998 71143 79497 142286 158994 213429 426858 640287 782573 1280574 1565146 2347719 4695438 5193439 7043157 8608303 10386878 14086314 15580317 17216606 25824909 31160634 46740951 51649818 57127829 77474727 93481902 114255658 154949454 171383487 342766974 514150461 628406119 1028300922 1256812238 1885218357 3770436714 5655655071 11311310142