Base | Representation |
---|---|
bin | 1011001101001011110011… |
… | …0000110111010100011000 |
3 | 1121121212222221201102100022 |
4 | 2303102330300313110120 |
5 | 3103332140040143112 |
6 | 42112130031330012 |
7 | 2411113110413645 |
oct | 263227460672430 |
9 | 47555887642308 |
10 | 12321133131032 |
11 | 3a203aa494250 |
12 | 146bb02680908 |
13 | 6b4b548a6c4b |
14 | 3084bb6cadcc |
15 | 16577aa77d72 |
hex | b34bcc37518 |
12321133131032 has 128 divisors (see below), whose sum is σ = 26108430753600. Its totient is φ = 5401993420800.
The previous prime is 12321133131029. The next prime is 12321133131059. The reversal of 12321133131032 is 23013133112321.
12321133131032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×123211331310322 (a number of 27 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 12321133130992 and 12321133131010.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173694932 + ... + 173765852.
Almost surely, 212321133131032 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 12321133131032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13054215376800).
12321133131032 is an abundant number, since it is smaller than the sum of its proper divisors (13787297622568).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12321133131032 is a wasteful number, since it uses less digits than its factorization.
12321133131032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 71437 (or 71433 counting only the distinct ones).
The product of its (nonzero) digits is 1944, while the sum is 26.
Adding to 12321133131032 its reverse (23013133112321), we get a palindrome (35334266243353).
The spelling of 12321133131032 in words is "twelve trillion, three hundred twenty-one billion, one hundred thirty-three million, one hundred thirty-one thousand, thirty-two".
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