| Base | Representation |
|---|---|
| bin | 1001010010011111001110… |
| … | …0010010011110011100100 |
| 3 | 1100011101010002011001000200 |
| 4 | 2110213303202103303210 |
| 5 | 2314313140104320400 |
| 6 | 33415520120310500 |
| 7 | 2102611122066000 |
| oct | 224476342236344 |
| 9 | 40141102131020 |
| 10 | 10213223120100 |
| 11 | 3288449214050 |
| 12 | 118b483912430 |
| 13 | 591144b3a000 |
| 14 | 274473459700 |
| 15 | 12aa091ddb00 |
| hex | 949f3893ce4 |
10213223120100 has 2592 divisors, whose sum is σ = 45343535328000. Its totient is φ = 1906034457600.
The previous prime is 10213223120099. The next prime is 10213223120129. The reversal of 10213223120100 is 102132231201.
10213223120100 is a `hidden beast` number, since 1 + 0 + 21 + 322 + 312 + 0 + 10 + 0 = 666.
10213223120100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is an unprimeable number.
It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 276033057282 + ... + 276033057318.
Almost surely, 210213223120100 is an apocalyptic number.
10213223120100 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 10213223120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22671767664000).
10213223120100 is an abundant number, since it is smaller than the sum of its proper divisors (35130312207900).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10213223120100 is a wasteful number, since it uses less digits than its factorization.
10213223120100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 165 (or 78 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
Adding to 10213223120100 its reverse (102132231201), we get a palindrome (10315355351301).
10213223120100 divided by its reverse (102132231201) gives a square (100 = 102).
It can be divided in two parts, 102132 and 23120100, that added together give a palindrome (23222232).
The spelling of 10213223120100 in words is "ten trillion, two hundred thirteen billion, two hundred twenty-three million, one hundred twenty thousand, one hundred".
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