Base | Representation |
---|---|
bin | 110011110101010101… |
… | …0010001110100110010 |
3 | 101122022110112111002200 |
4 | 1213222222101310302 |
5 | 3310431122242002 |
6 | 123045143524030 |
7 | 11020252012365 |
oct | 1475252216462 |
9 | 348273474080 |
10 | 111311134002 |
11 | 43230262532 |
12 | 196a5a59616 |
13 | a65c032943 |
14 | 555d3a20dc |
15 | 2d67286b1c |
hex | 19eaa91d32 |
111311134002 has 96 divisors (see below), whose sum is σ = 250409263104. Its totient is φ = 35697650400.
The previous prime is 111311133959. The next prime is 111311134007. The reversal of 111311134002 is 200431113111.
It is a happy number.
111311134002 is a `hidden beast` number, since 1 + 11 + 311 + 1 + 340 + 0 + 2 = 666.
It is a super-2 number, since 2×1113111340022 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (111311134007) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90422727 + ... + 90423957.
It is an arithmetic number, because the mean of its divisors is an integer number (2608429824).
Almost surely, 2111311134002 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 111311134002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125204631552).
111311134002 is an abundant number, since it is smaller than the sum of its proper divisors (139098129102).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
111311134002 is a wasteful number, since it uses less digits than its factorization.
111311134002 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2084 (or 2081 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 18.
Adding to 111311134002 its reverse (200431113111), we get a palindrome (311742247113).
The spelling of 111311134002 in words is "one hundred eleven billion, three hundred eleven million, one hundred thirty-four thousand, two".
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