| Base | Representation |
|---|---|
| bin | 1001010010011011000100… |
| … | …1100111001011110111000 |
| 3 | 1100011021020112000101202010 |
| 4 | 2110212301030321132320 |
| 5 | 2314303400203223000 |
| 6 | 33415213443005520 |
| 7 | 2102541416366025 |
| oct | 224466114713670 |
| 9 | 40137215011663 |
| 10 | 10212110211000 |
| 11 | 3287a27a91a65 |
| 12 | 118b2130698a0 |
| 13 | 590cc83b9609 |
| 14 | 2743a971a54c |
| 15 | 12a991657d50 |
| hex | 949b13397b8 |
10212110211000 has 128 divisors (see below), whose sum is σ = 31890998280960. Its totient is φ = 2720732432000.
The previous prime is 10212110210999. The next prime is 10212110211007. The reversal of 10212110211000 is 11201121201.
10212110211000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×102121102110002 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10212110211007) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1712947 + ... + 4833053.
It is an arithmetic number, because the mean of its divisors is an integer number (249148424070).
Almost surely, 210212110211000 is an apocalyptic number.
10212110211000 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 10212110211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15945499140480).
10212110211000 is an abundant number, since it is smaller than the sum of its proper divisors (21678888069960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10212110211000 is a wasteful number, since it uses less digits than its factorization.
10212110211000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3121222 (or 3121208 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 12.
Adding to 10212110211000 its reverse (11201121201), we get a palindrome (10223311332201).
The spelling of 10212110211000 in words is "ten trillion, two hundred twelve billion, one hundred ten million, two hundred eleven thousand".
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