Base | Representation |
---|---|
bin | 1001100110101111000001… |
… | …00001001110100011111100 |
3 | 2202210020212221002120022200 |
4 | 10303113200201032203330 |
5 | 10232031100434014322 |
6 | 112531211325311500 |
7 | 4310010564116220 |
oct | 463274041164374 |
9 | 82706787076280 |
10 | 21122121001212 |
11 | 680392871a710 |
12 | 2451737705590 |
13 | ba2a65cc882a |
14 | 53045d5a2780 |
15 | 26967c8b78ac |
hex | 1335e084e8fc |
21122121001212 has 288 divisors, whose sum is σ = 67788430295040. Its totient is φ = 5385828792960.
The previous prime is 21122121001187. The next prime is 21122121001277. The reversal of 21122121001212 is 21210012122112.
21122121001212 is a `hidden beast` number, since 21 + 1 + 221 + 210 + 0 + 1 + 212 = 666.
It is a super-2 number, since 2×211221210012122 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 118810573 + ... + 118988219.
It is an arithmetic number, because the mean of its divisors is an integer number (235376494080).
Almost surely, 221122121001212 is an apocalyptic number.
21122121001212 is a gapful number since it is divisible by the number (22) 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 21122121001212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33894215147520).
21122121001212 is an abundant number, since it is smaller than the sum of its proper divisors (46666309293828).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21122121001212 is a wasteful number, since it uses less digits than its factorization.
21122121001212 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 178461 (or 178456 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 18.
Adding to 21122121001212 its reverse (21210012122112), we get a palindrome (42332133123324).
It can be divided in two parts, 2112 and 2121001212, that multiplied together give a palindrome (4479554559744).
The spelling of 21122121001212 in words is "twenty-one trillion, one hundred twenty-two billion, one hundred twenty-one million, one thousand, two hundred twelve".
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