Search a number
-
+
2121210001220 = 2251011050103961
BaseRepresentation
bin11110110111100001111…
…101111111011101000100
321111210012202211220002112
4132313201331333131010
5234223214230014340
64302245340000152
7306152363341562
oct36674175773504
97453182756075
102121210001220
11748666822812
122a3130b30058
1312504c33519b
147494a7aaa32
153a29e2e7065
hex1ede1f7f744

2121210001220 has 24 divisors (see below), whose sum is σ = 4498645373208. Its totient is φ = 840083168000.

The previous prime is 2121210001213. The next prime is 2121210001223. The reversal of 2121210001220 is 221000121212.

It can be written as a sum of positive squares in 4 ways, for example, as 1314838328896 + 806371672324 = 1146664^2 + 897982^2 .

It is a super-3 number, since 3×21212100012203 (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2121210001195 and 2121210001204.

It is not an unprimeable number, because it can be changed into a prime (2121210001223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 525049961 + ... + 525054000.

It is an arithmetic number, because the mean of its divisors is an integer number (187443557217).

Almost surely, 22121210001220 is an apocalyptic number.

2121210001220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121210001220 is an abundant number, since it is smaller than the sum of its proper divisors (2377435371988).

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

2121210001220 is a wasteful number, since it uses less digits than its factorization.

2121210001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050104071 (or 1050104069 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2121210001220 its reverse (221000121212), we get a palindrome (2342210122432).

The spelling of 2121210001220 in words is "two trillion, one hundred twenty-one billion, two hundred ten million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 1050103961 2100207922 4200415844 5250519805 10501039610 21002079220 106060500061 212121000122 424242000244 530302500305 1060605000610 2121210001220