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10222010020 = 2251015060401
BaseRepresentation
bin10011000010100011…
…10111111010100100
3222101101111220121201
421201101313322210
5131413313310040
64410153052244
7511211436325
oct114121677244
928341456551
1010222010020
114376070472
121b933b7084
13c6b9aca51
146cd83444c
153ec613a9a
hex261477ea4

10222010020 has 24 divisors (see below), whose sum is σ = 21678762168. Its totient is φ = 4048320000.

The previous prime is 10222010011. The next prime is 10222010021. The reversal of 10222010020 is 2001022201.

10222010020 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 4 ways, for example, as 1105961536 + 9116048484 = 33256^2 + 95478^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10222009979 and 10222010006.

It is not an unprimeable number, because it can be changed into a prime (10222010021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2528181 + ... + 2532220.

It is an arithmetic number, because the mean of its divisors is an integer number (903281757).

Almost surely, 210222010020 is an apocalyptic number.

10222010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222010020 is an abundant number, since it is smaller than the sum of its proper divisors (11456752148).

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

10222010020 is a wasteful number, since it uses less digits than its factorization.

10222010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5060511 (or 5060509 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10222010020 its reverse (2001022201), we get a palindrome (12223032221).

The spelling of 10222010020 in words is "ten billion, two hundred twenty-two million, ten thousand, twenty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 5060401 10120802 20241604 25302005 50604010 101208020 511100501 1022201002 2044402004 2555502505 5111005010 10222010020