Search a number
-
+
21202133202020 = 2251060106660101
BaseRepresentation
bin1001101001000100000011…
…00111100011010001100100
32210001220102010011111200102
410310202001213203101210
510234333432044431040
6113032043040403232
74315542424444541
oct464420147432144
983056363144612
1021202133202020
1168348574aa401
122465147616518
13baa477812b54
1453428dbd5bc8
1526b7b1e96515
hex1348819e3464

21202133202020 has 12 divisors (see below), whose sum is σ = 44524479724284. Its totient is φ = 8480853280800.

The previous prime is 21202133202013. The next prime is 21202133202053. The reversal of 21202133202020 is 2020233120212.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2684275917376 + 18517857284644 = 1638376^2 + 4303238^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 1060106660101 = 21202133202020 / (2 + 1 + 2 + 0 + 2 + 1 + 3 + 3 + 2 + 0 + 2 + 0 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 21202133201983 and 21202133202001.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 530053330031 + ... + 530053330070.

It is an arithmetic number, because the mean of its divisors is an integer number (3710373310357).

Almost surely, 221202133202020 is an apocalyptic number.

21202133202020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21202133202020 is an abundant number, since it is smaller than the sum of its proper divisors (23322346522264).

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

21202133202020 is a wasteful number, since it uses less digits than its factorization.

21202133202020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060106660110 (or 1060106660108 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 21202133202020 its reverse (2020233120212), we get a palindrome (23222366322232).

The spelling of 21202133202020 in words is "twenty-one trillion, two hundred two billion, one hundred thirty-three million, two hundred two thousand, twenty".

Divisors: 1 2 4 5 10 20 1060106660101 2120213320202 4240426640404 5300533300505 10601066601010 21202133202020