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11114201142 = 23211243118673
BaseRepresentation
bin10100101100111010…
…10100000000110110
31001200120022220202100
422112131110000312
5140230213414032
65034503522530
7542264102532
oct122635240066
931616286670
1011114201142
114793749900
1221a2159446
1310817a0ca5
1477611abc2
15450aeb97c
hex296754036

11114201142 has 72 divisors (see below), whose sum is σ = 27084729672. Its totient is φ = 3289587840.

The previous prime is 11114201113. The next prime is 11114201149. The reversal of 11114201142 is 24110241111.

11114201142 is digitally balanced in base 5, 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 not an unprimeable number, because it can be changed into a prime (11114201149) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34318 + ... + 152990.

It is an arithmetic number, because the mean of its divisors is an integer number (376176801).

Almost surely, 211114201142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11114201142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13542364836).

11114201142 is an abundant number, since it is smaller than the sum of its proper divisors (15970528530).

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

11114201142 is a wasteful number, since it uses less digits than its factorization.

11114201142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118746 (or 118732 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11114201142 its reverse (24110241111), we get a palindrome (35224442253).

The spelling of 11114201142 in words is "eleven billion, one hundred fourteen million, two hundred one thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 43 66 86 99 121 129 198 242 258 363 387 473 726 774 946 1089 1419 2178 2838 4257 5203 8514 10406 15609 31218 46827 93654 118673 237346 356019 712038 1068057 1305403 2136114 2610806 3916209 5102939 7832418 10205878 11748627 14359433 15308817 23497254 28718866 30617634 43078299 45926451 56132329 86156598 91852902 112264658 129234897 168396987 258469794 336793974 505190961 617455619 1010381922 1234911238 1852366857 3704733714 5557100571 11114201142