Base | Representation |
---|---|
bin | 10010101111010011… |
… | …111111000011111100 |
3 | 1220221021102212001110 |
4 | 102233103333003330 |
5 | 312202001333040 |
6 | 13124333242020 |
7 | 1311422464260 |
oct | 225723770374 |
9 | 56837385043 |
10 | 20121121020 |
11 | 8595937040 |
12 | 3a96633310 |
13 | 1b88804b90 |
14 | d8c4140a0 |
15 | 7cb6e3980 |
hex | 4af4ff0fc |
20121121020 has 768 divisors, whose sum is σ = 79594389504. Its totient is φ = 3663360000.
The previous prime is 20121120983. The next prime is 20121121057. The reversal of 20121121020 is 2012112102.
It is an interprime number because it is at equal distance from previous prime (20121120983) and next prime (20121121057).
It is a super-2 number, since 2×201211210202 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a junction number, because it is equal to n+sod(n) for n = 20121120987 and 20121121005.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 188047807 + ... + 188047913.
It is an arithmetic number, because the mean of its divisors is an integer number (103638528).
Almost surely, 220121121020 is an apocalyptic number.
20121121020 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 20121121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39797194752).
20121121020 is an abundant number, since it is smaller than the sum of its proper divisors (59473268484).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20121121020 is a wasteful number, since it uses less digits than its factorization.
20121121020 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 282 (or 280 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 12.
Adding to 20121121020 its reverse (2012112102), we get a palindrome (22133233122).
It can be divided in two parts, 20121 and 121020, that added together give a palindrome (141141).
The spelling of 20121121020 in words is "twenty billion, one hundred twenty-one million, one hundred twenty-one thousand, twenty".
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