Base | Representation |
---|---|
bin | 11011100100001001010111… |
… | …010001000111110011011100 |
3 | 120220020120221112111101020200 |
4 | 123210021113101013303130 |
5 | 111342223010004044400 |
6 | 1105500503253343500 |
7 | 34351444265062302 |
oct | 3344112721076334 |
9 | 526216845441220 |
10 | 121231211003100 |
11 | 3569a960135940 |
12 | 1171b507337b90 |
13 | 5285091c54243 |
14 | 21d189c798272 |
15 | e0377e42ab00 |
hex | 6e4257447cdc |
121231211003100 has 432 divisors, whose sum is σ = 425787800919936. Its totient is φ = 28591932096000.
The previous prime is 121231211003053. The next prime is 121231211003107. The reversal of 121231211003100 is 1300112132121.
121231211003100 is a `hidden beast` number, since 1 + 2 + 1 + 231 + 21 + 100 + 310 + 0 = 666.
121231211003100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a super-3 number, since 3×1212312110031003 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
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 (121231211003107) by changing a digit.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6486064755 + ... + 6486083445.
Almost surely, 2121231211003100 is an apocalyptic number.
121231211003100 is a gapful number since it is divisible by the number (10) 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 121231211003100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212893900459968).
121231211003100 is an abundant number, since it is smaller than the sum of its proper divisors (304556589916836).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
121231211003100 is a wasteful number, since it uses less digits than its factorization.
121231211003100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 36466 (or 36456 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 18.
Adding to 121231211003100 its reverse (1300112132121), we get a palindrome (122531323135221).
The spelling of 121231211003100 in words is "one hundred twenty-one trillion, two hundred thirty-one billion, two hundred eleven million, three thousand, one hundred".
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