| Base | Representation |
|---|---|
| bin | 111101111111010111… |
| … | …0001001001100000000 |
| 3 | 110201121112112002210000 |
| 4 | 1323332232021030000 |
| 5 | 4140113331344000 |
| 6 | 141053341440000 |
| 7 | 12421620550350 |
| oct | 1737656111400 |
| 9 | 421545462700 |
| 10 | 133122528000 |
| 11 | 51503218690 |
| 12 | 21972570000 |
| 13 | c726a89837 |
| 14 | 662c088b60 |
| 15 | 36e205c000 |
| hex | 1efeb89300 |
133122528000 has 2880 divisors, whose sum is σ = 666706360320. Its totient is φ = 25546752000.
The previous prime is 133122527953. The next prime is 133122528043. The reversal of 133122528000 is 825221331.
133122528000 is a `hidden beast` number, since 1 + 331 + 2 + 252 + 80 + 0 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (2880).
It is a super-2 number, since 2×1331225280002 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 4590431986 + ... + 4590432014.
It is an arithmetic number, because the mean of its divisors is an integer number (231495264).
Almost surely, 2133122528000 is an apocalyptic number.
133122528000 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 133122528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333353180160).
133122528000 is an abundant number, since it is smaller than the sum of its proper divisors (533583832320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
133122528000 is a wasteful number, since it uses less digits than its factorization.
133122528000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 113 (or 80 counting only the distinct ones).
The product of its (nonzero) digits is 2880, while the sum is 27.
Adding to 133122528000 its reverse (825221331), we get a palindrome (133947749331).
The spelling of 133122528000 in words is "one hundred thirty-three billion, one hundred twenty-two million, five hundred twenty-eight thousand".
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