| Base | Representation |
|---|---|
| bin | 101101101101001111100001… |
| … | …001011110000110111000000 |
| 3 | 222100202102200100020011100200 |
| 4 | 231231033201023300313000 |
| 5 | 202322012234332441000 |
| 6 | 1551311455554445200 |
| 7 | 60225204024621600 |
| oct | 5555174113606700 |
| 9 | 870672610204320 |
| 10 | 201021132312000 |
| 11 | 59062646642000 |
| 12 | 1a6672aa593800 |
| 13 | 88222996b7440 |
| 14 | 378d6908a2c00 |
| 15 | 183904ab8b500 |
| hex | b6d3e12f0dc0 |
201021132312000 has 8064 divisors, whose sum is σ = 1029062484253440. Its totient is φ = 37093883904000.
The previous prime is 201021132311983. The next prime is 201021132312029. The reversal of 201021132312000 is 213231120102.
201021132312000 is a `hidden beast` number, since 2 + 0 + 10 + 211 + 323 + 120 + 0 + 0 = 666.
201021132312000 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 2×2010211323120002 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 2258664407956 + ... + 2258664408044.
It is an arithmetic number, because the mean of its divisors is an integer number (127611915210).
Almost surely, 2201021132312000 is an apocalyptic number.
201021132312000 is a gapful number since it is divisible by the number (20) 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 201021132312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514531242126720).
201021132312000 is an abundant number, since it is smaller than the sum of its proper divisors (828041351941440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
201021132312000 is a wasteful number, since it uses less digits than its factorization.
201021132312000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 219 (or 167 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
Adding to 201021132312000 its reverse (213231120102), we get a palindrome (201234363432102).
The spelling of 201021132312000 in words is "two hundred one trillion, twenty-one billion, one hundred thirty-two million, three hundred twelve thousand".
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