Base | Representation |
---|---|
bin | 1011000010001100011000… |
… | …0110010111010011110010 |
3 | 1120221211121121221112011200 |
4 | 2300203012012113103302 |
5 | 3042233433131413020 |
6 | 41445301250152030 |
7 | 2361346660452150 |
oct | 260430606272362 |
9 | 46854547845150 |
10 | 12132311201010 |
11 | 3958314425510 |
12 | 143b3a6582616 |
13 | 6a00c235b980 |
14 | 2dd2c7dd03d0 |
15 | 1608c8b19590 |
hex | b08c61974f2 |
12132311201010 has 768 divisors, whose sum is σ = 45787044925440. Its totient is φ = 2145004001280.
The previous prime is 12132311200987. The next prime is 12132311201051. The reversal of 12132311201010 is 1010211323121.
12132311201010 is a `hidden beast` number, since 1 + 213 + 231 + 120 + 101 + 0 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is an unprimeable number.
It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 63237489 + ... + 63429051.
It is an arithmetic number, because the mean of its divisors is an integer number (59618548080).
Almost surely, 212132311201010 is an apocalyptic number.
12132311201010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 12132311201010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22893522462720).
12132311201010 is an abundant number, since it is smaller than the sum of its proper divisors (33654733724430).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12132311201010 is a wasteful number, since it uses less digits than its factorization.
12132311201010 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 191663 (or 191660 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 18.
Adding to 12132311201010 its reverse (1010211323121), we get a palindrome (13142522524131).
It can be divided in two parts, 12132311 and 201010, that added together give a palindrome (12333321).
The spelling of 12132311201010 in words is "twelve trillion, one hundred thirty-two billion, three hundred eleven million, two hundred one thousand, ten".
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