Base | Representation |
---|---|
bin | 11001010011110011101010… |
… | …110000111010001111001100 |
3 | 112121010100112100110121010000 |
4 | 121103303222300322033030 |
5 | 104042220103122230012 |
6 | 1032424100401444300 |
7 | 32306022560223534 |
oct | 3123635260721714 |
9 | 477110470417100 |
10 | 111312311133132 |
11 | 3251631680197a |
12 | 105990a3940690 |
13 | 4a15923b28755 |
14 | 1d6b78a5784c4 |
15 | cd074e365ddc |
hex | 653ceac3a3cc |
111312311133132 has 240 divisors, whose sum is σ = 308533446952192. Its totient is φ = 34932670364160.
The previous prime is 111312311133131. The next prime is 111312311133139. The reversal of 111312311133132 is 231331113213111.
111312311133132 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 1 + 231 + 113 + 313 + 2 = 666.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 111312311133096 and 111312311133105.
It is not an unprimeable number, because it can be changed into a prime (111312311133131) by changing a digit.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5757622938 + ... + 5757642270.
Almost surely, 2111312311133132 is an apocalyptic number.
111312311133132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 111312311133132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154266723476096).
111312311133132 is an abundant number, since it is smaller than the sum of its proper divisors (197221135819060).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
111312311133132 is a wasteful number, since it uses less digits than its factorization.
111312311133132 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 34910 (or 34899 counting only the distinct ones).
The product of its digits is 972, while the sum is 27.
Adding to 111312311133132 its reverse (231331113213111), we get a palindrome (342643424346243).
The spelling of 111312311133132 in words is "one hundred eleven trillion, three hundred twelve billion, three hundred eleven million, one hundred thirty-three thousand, one hundred thirty-two".
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