| Base | Representation |
|---|---|
| bin | 1100010011001100111… |
| … | …1111011111010101100 |
| 3 | 202012102210002110100000 |
| 4 | 3010303033323322230 |
| 5 | 11430232140304400 |
| 6 | 241024223304300 |
| 7 | 21160352450403 |
| oct | 3046317737254 |
| 9 | 665383073300 |
| 10 | 211313213100 |
| 11 | 816878886a0 |
| 12 | 34b5444b090 |
| 13 | 16c080bc802 |
| 14 | a32880463a |
| 15 | 576b782600 |
| hex | 31333fbeac |
211313213100 has 216 divisors, whose sum is σ = 749325665088. Its totient is φ = 51227380800.
The previous prime is 211313213093. The next prime is 211313213107. The reversal of 211313213100 is 1312313112.
211313213100 is a `hidden beast` number, since 2 + 1 + 1 + 31 + 321 + 310 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (211313213093) and next prime (211313213107).
It is a super-2 number, since 2×2113132131002 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (211313213107) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 127974 + ... + 662573.
Almost surely, 2211313213100 is an apocalyptic number.
211313213100 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 211313213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374662832544).
211313213100 is an abundant number, since it is smaller than the sum of its proper divisors (538012451988).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
211313213100 is a wasteful number, since it uses less digits than its factorization.
211313213100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 790587 (or 790568 counting only the distinct ones).
The product of its (nonzero) digits is 108, while the sum is 18.
Adding to 211313213100 its reverse (1312313112), we get a palindrome (212625526212).
The spelling of 211313213100 in words is "two hundred eleven billion, three hundred thirteen million, two hundred thirteen thousand, one hundred".
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