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10222101020 = 2251730065003
BaseRepresentation
bin10011000010100100…
…01110001000011100
3222101101200112110002
421201102032020130
5131413324213040
64410155033432
7511212265535
oct114122161034
928341615402
1010222101020
11437612287a
121b9343b878
13c6ba122b1
146cd85968c
153ec630a15
hex26148e21c

10222101020 has 24 divisors (see below), whose sum is σ = 22729143024. Its totient is φ = 3848320256.

The previous prime is 10222101011. The next prime is 10222101031. The reversal of 10222101020 is 2010122201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10222100992 and 10222101010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15032162 + ... + 15032841.

It is an arithmetic number, because the mean of its divisors is an integer number (947047626).

Almost surely, 210222101020 is an apocalyptic number.

10222101020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222101020 is an abundant number, since it is smaller than the sum of its proper divisors (12507042004).

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

10222101020 is a wasteful number, since it uses less digits than its factorization.

10222101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30065029 (or 30065027 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10222101020 its reverse (2010122201), we get a palindrome (12232223221).

The spelling of 10222101020 in words is "ten billion, two hundred twenty-two million, one hundred one thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 30065003 60130006 120260012 150325015 300650030 511105051 601300060 1022210102 2044420204 2555525255 5111050510 10222101020