Search a number
-
+
2100210122020 = 225105010506101
BaseRepresentation
bin11110100011111110010…
…001110011110100100100
321102210000020212111102211
4132203332101303310210
5233402212242401040
64244453451413204
7304510110326143
oct36437621636444
97383006774384
102100210122020
1173a76a95274a
1229b050154204
1312308376336a
14739177a975a
15399708c08ea
hex1e8fe473d24

2100210122020 has 12 divisors (see below), whose sum is σ = 4410441256284. Its totient is φ = 840084048800.

The previous prime is 2100210121957. The next prime is 2100210122029. The reversal of 2100210122020 is 202210120012.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1262512915456 + 837697206564 = 1123616^2 + 915258^2 .

It is not an unprimeable number, because it can be changed into a prime (2100210122029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 52505253031 + ... + 52505253070.

It is an arithmetic number, because the mean of its divisors is an integer number (367536771357).

Almost surely, 22100210122020 is an apocalyptic number.

2100210122020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100210122020 is an abundant number, since it is smaller than the sum of its proper divisors (2310231134264).

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

2100210122020 is a wasteful number, since it uses less digits than its factorization.

2100210122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105010506110 (or 105010506108 counting only the distinct ones).

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

Adding to 2100210122020 its reverse (202210120012), we get a palindrome (2302420242032).

The spelling of 2100210122020 in words is "two trillion, one hundred billion, two hundred ten million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 105010506101 210021012202 420042024404 525052530505 1050105061010 2100210122020