Base | Representation |
---|---|
bin | 111110101001101… |
… | …0101010101011000 |
3 | 12102111200211212110 |
4 | 1331103111111120 |
5 | 13301132020440 |
6 | 544333512320 |
7 | 103044401430 |
oct | 17523252530 |
9 | 5374624773 |
10 | 2102220120 |
11 | 989715100 |
12 | 4a80426a0 |
13 | 2766b7540 |
14 | 15d2a72c0 |
15 | c4855080 |
hex | 7d4d5558 |
2102220120 has 768 divisors, whose sum is σ = 8966200320. Its totient is φ = 383201280.
The previous prime is 2102220061. The next prime is 2102220149. The reversal of 2102220120 is 210222012.
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 = 2102220096 and 2102220105.
It is a congruent number.
It is an unprimeable number.
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 191 ways as a sum of consecutive naturals, for example, 48888819 + ... + 48888861.
It is an arithmetic number, because the mean of its divisors is an integer number (11674740).
Almost surely, 22102220120 is an apocalyptic number.
2102220120 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 2102220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4483100160).
2102220120 is an abundant number, since it is smaller than the sum of its proper divisors (6863980200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2102220120 is a wasteful number, since it uses less digits than its factorization.
2102220120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 136 (or 121 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 12.
The square root of 2102220120 is about 45849.9740457942. The cubic root of 2102220120 is about 1281.0302821489.
Adding to 2102220120 its reverse (210222012), we get a palindrome (2312442132).
It can be divided in two parts, 2102 and 220120, that added together give a palindrome (222222).
The spelling of 2102220120 in words is "two billion, one hundred two million, two hundred twenty thousand, one hundred twenty".
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