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1020220220200 = 23525219790981
BaseRepresentation
bin11101101100010011101…
…11010010001100101000
310121112100220100001001111
432312021313102030220
5113203402334021300
62100403244000104
7133465002534226
oct16661167221450
93545326301044
101020220220200
11363744798685
12145885830034
137528b48a18c
1437543a95b16
151b8119d29ba
hexed89dd2328

1020220220200 has 48 divisors (see below), whose sum is σ = 2376565060860. Its totient is φ = 407304768000.

The previous prime is 1020220220167. The next prime is 1020220220203. The reversal of 1020220220200 is 20220220201.

1020220220200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 448602569284 + 571617650916 = 669778^2 + 756054^2 .

It is not an unprimeable number, because it can be changed into a prime (1020220220203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4791291 + ... + 4999690.

Almost surely, 21020220220200 is an apocalyptic number.

1020220220200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020220220200 is an abundant number, since it is smaller than the sum of its proper divisors (1356344840660).

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

1020220220200 is a wasteful number, since it uses less digits than its factorization.

1020220220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9791518 (or 9791509 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 1020220220200 its reverse (20220220201), we get a palindrome (1040440440401).

Subtracting from 1020220220200 its reverse (20220220201), we obtain a palindrome (999999999999).

The spelling of 1020220220200 in words is "one trillion, twenty billion, two hundred twenty million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 521 1042 2084 2605 4168 5210 10420 13025 20840 26050 52100 104200 9790981 19581962 39163924 48954905 78327848 97909810 195819620 244774525 391639240 489549050 979098100 1958196200 5101101101 10202202202 20404404404 25505505505 40808808808 51011011010 102022022020 127527527525 204044044040 255055055050 510110110100 1020220220200