Search a number
-
+
10222022112020 = 2251932648192257
BaseRepresentation
bin1001010010111111111111…
…1111110011001100010100
31100012012211022000010210022
42110233333333303030110
52314434200130041040
633423533201244312
72103342144223445
oct224577777631424
940165738003708
1010222022112020
113291153aa39a4
12119111a633698
13591c17a6c1c4
14274a69ca92cc
1512ad719126b5
hex94bffff3314

10222022112020 has 24 divisors (see below), whose sum is σ = 21577470518184. Its totient is φ = 4067623305216.

The previous prime is 10222022112017. The next prime is 10222022112031. The reversal of 10222022112020 is 2021122022201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1250823033604 + 8971199078416 = 1118402^2 + 2995196^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10222022112020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1324092269 + ... + 1324099988.

It is an arithmetic number, because the mean of its divisors is an integer number (899061271591).

Almost surely, 210222022112020 is an apocalyptic number.

10222022112020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222022112020 is an abundant number, since it is smaller than the sum of its proper divisors (11355448406164).

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

10222022112020 is a wasteful number, since it uses less digits than its factorization.

10222022112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2648192459 (or 2648192457 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 10222022112020 its reverse (2021122022201), we get a palindrome (12243144134221).

The spelling of 10222022112020 in words is "ten trillion, two hundred twenty-two billion, twenty-two million, one hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 193 386 772 965 1930 3860 2648192257 5296384514 10592769028 13240961285 26481922570 52963845140 511101105601 1022202211202 2044404422404 2555505528005 5111011056010 10222022112020