Search a number
-
+
10220022020 = 2251339307777
BaseRepresentation
bin10011000010010100…
…10010100100000100
3222101020202220121002
421201022102210010
5131412311201040
64410042312432
7511155516365
oct114112224404
928336686532
1010220022020
114374a3289a
121b927b8718
13c6b464c10
146cd477b6c
153ec36ea15
hex261292904

10220022020 has 24 divisors (see below), whose sum is σ = 23112973464. Its totient is φ = 3773546496.

The previous prime is 10220021957. The next prime is 10220022031. The reversal of 10220022020 is 2022002201.

It can be written as a sum of positive squares in 4 ways, for example, as 8111104 + 10211910916 = 2848^2 + 101054^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10220021992 and 10220022010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19653629 + ... + 19654148.

It is an arithmetic number, because the mean of its divisors is an integer number (963040561).

Almost surely, 210220022020 is an apocalyptic number.

10220022020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10220022020 is an abundant number, since it is smaller than the sum of its proper divisors (12892951444).

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

10220022020 is a wasteful number, since it uses less digits than its factorization.

10220022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39307799 (or 39307797 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 10220022020 its reverse (2022002201), we get a palindrome (12242024221).

The spelling of 10220022020 in words is "ten billion, two hundred twenty million, twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 39307777 78615554 157231108 196538885 393077770 511001101 786155540 1022002202 2044004404 2555005505 5110011010 10220022020