| Base | Representation |
|---|---|
| bin | 1100011011011011011… |
| … | …0000001010110000100 |
| 3 | 202102010122110021012100 |
| 4 | 3012312312001112010 |
| 5 | 11444242334341400 |
| 6 | 242031252152100 |
| 7 | 21266151441234 |
| oct | 3066666012604 |
| 9 | 672118407170 |
| 10 | 213521012100 |
| 11 | 82610054770 |
| 12 | 3546b908630 |
| 13 | 1719a621c56 |
| 14 | a497b11cc4 |
| 15 | 584a4e0100 |
| hex | 31b6d81584 |
213521012100 has 216 divisors, whose sum is σ = 734152386240. Its totient is φ = 51476256000.
The previous prime is 213521012099. The next prime is 213521012101. The reversal of 213521012100 is 1210125312.
213521012100 is a `hidden beast` number, since 2 + 1 + 352 + 101 + 210 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (213521012099) and next prime (213521012101).
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 (213521012101) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1732321 + ... + 1851479.
It is an arithmetic number, because the mean of its divisors is an integer number (3398853640).
Almost surely, 2213521012100 is an apocalyptic number.
213521012100 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 213521012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367076193120).
213521012100 is an abundant number, since it is smaller than the sum of its proper divisors (520631374140).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
213521012100 is a wasteful number, since it uses less digits than its factorization.
213521012100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 119371 (or 119361 counting only the distinct ones).
The product of its (nonzero) digits is 120, while the sum is 18.
Adding to 213521012100 its reverse (1210125312), we get a palindrome (214731137412).
The spelling of 213521012100 in words is "two hundred thirteen billion, five hundred twenty-one million, twelve thousand, one hundred".
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