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2102121220 = 225432579511
BaseRepresentation
bin111110101001011…
…1101001100000100
312102111111211012111
41331102331030010
513301120334340
6544331430404
7103043510203
oct17522751404
95374454174
102102121220
11989657871
124a7bb5404
13276681514
1415d27d23a
15c4835aea
hex7d4bd304

2102121220 has 48 divisors (see below), whose sum is σ = 4535169408. Its totient is φ = 818012160.

The previous prime is 2102121169. The next prime is 2102121223. The reversal of 2102121220 is 221212012.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2102121220.

It is not an unprimeable number, because it can be changed into a prime (2102121223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216265 + ... + 225775.

It is an arithmetic number, because the mean of its divisors is an integer number (94482696).

Almost surely, 22102121220 is an apocalyptic number.

2102121220 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 2102121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2267584704).

2102121220 is an abundant number, since it is smaller than the sum of its proper divisors (2433048188).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2102121220 is a wasteful number, since it uses less digits than its factorization.

2102121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9820 (or 9818 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 2102121220 is about 45848.8955155956. The cubic root of 2102121220 is about 1281.0101929298.

Adding to 2102121220 its reverse (221212012), we get a palindrome (2323333232).

The spelling of 2102121220 in words is "two billion, one hundred two million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 43 86 172 215 257 430 514 860 1028 1285 2570 5140 9511 11051 19022 22102 38044 44204 47555 55255 95110 110510 190220 221020 408973 817946 1635892 2044865 2444327 4089730 4888654 8179460 9777308 12221635 24443270 48886540 105106061 210212122 420424244 525530305 1051060610 2102121220