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11287614141 = 3547988321
BaseRepresentation
bin10101000001100101…
…10101001010111101
31002010122122012200000
422200302311022331
5141104112123031
65104020424513
7546501065016
oct124062651275
932118565600
1011287614141
114872622631
122230248139
1310ab6a992b
1479117c00d
15460e533e6
hex2a0cb52bd

11287614141 has 24 divisors (see below), whose sum is σ = 17267961984. Its totient is φ = 7364960640.

The previous prime is 11287614127. The next prime is 11287614181. The reversal of 11287614141 is 14141678211.

It is a happy number.

11287614141 is a `hidden beast` number, since 1 + 1 + 28 + 7 + 614 + 14 + 1 = 666.

11287614141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11287614141 - 25 = 11287614109 is a prime.

It is a super-2 number, since 2×112876141412 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11287614096 and 11287614105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11287614181) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 482740 + ... + 505581.

It is an arithmetic number, because the mean of its divisors is an integer number (719498416).

Almost surely, 211287614141 is an apocalyptic number.

It is an amenable number.

11287614141 is a deficient number, since it is larger than the sum of its proper divisors (5980347843).

11287614141 is an frugal number, since it uses more digits than its factorization.

11287614141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988383 (or 988371 counting only the distinct ones).

The product of its digits is 10752, while the sum is 36.

The spelling of 11287614141 in words is "eleven billion, two hundred eighty-seven million, six hundred fourteen thousand, one hundred forty-one".

Divisors: 1 3 9 27 47 81 141 243 423 1269 3807 11421 988321 2964963 8894889 26684667 46451087 80054001 139353261 240162003 418059783 1254179349 3762538047 11287614141