| Base | Representation |
|---|---|
| bin | 1100010010110010100… |
| … | …0001100110010000000 |
| 3 | 202012011001002000020200 |
| 4 | 3010230220030302000 |
| 5 | 11430020221224440 |
| 6 | 241005214405200 |
| 7 | 21154533340146 |
| oct | 3045450146200 |
| 9 | 665131060220 |
| 10 | 211202133120 |
| 11 | 81630109660 |
| 12 | 34b23200800 |
| 13 | 16bbb099a04 |
| 14 | a317b6b596 |
| 15 | 5761b3ec30 |
| hex | 312ca0cc80 |
211202133120 has 768 divisors, whose sum is σ = 852855194880. Its totient is φ = 47638609920.
The previous prime is 211202133119. The next prime is 211202133127. The reversal of 211202133120 is 21331202112.
211202133120 is a `hidden beast` number, since 21 + 120 + 213 + 312 + 0 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 211202133093 and 211202133102.
It is not an unprimeable number, because it can be changed into a prime (211202133127) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53917402 + ... + 53921318.
It is an arithmetic number, because the mean of its divisors is an integer number (1110488535).
Almost surely, 2211202133120 is an apocalyptic number.
211202133120 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 211202133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426427597440).
211202133120 is an abundant number, since it is smaller than the sum of its proper divisors (641653061760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
211202133120 is a wasteful number, since it uses less digits than its factorization.
211202133120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4013 (or 3998 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
Adding to 211202133120 its reverse (21331202112), we get a palindrome (232533335232).
The spelling of 211202133120 in words is "two hundred eleven billion, two hundred two million, one hundred thirty-three thousand, one hundred twenty".
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