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10222302120 = 233585185851
BaseRepresentation
bin10011000010100101…
…11111001110101000
3222101102001202022020
421201102333032220
5131413402131440
64410203224440
7511214064042
oct114122771650
928342052266
1010222302120
11437624a978
121b93518120
13c6ba829a4
146cd8aca92
153ec6703d0
hex2614bf3a8

10222302120 has 32 divisors (see below), whose sum is σ = 30666906720. Its totient is φ = 2725947200.

The previous prime is 10222302089. The next prime is 10222302121. The reversal of 10222302120 is 2120322201.

It is a happy number.

10222302120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10222302120.

It is not an unprimeable number, because it can be changed into a prime (10222302121) 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, 42592806 + ... + 42593045.

It is an arithmetic number, because the mean of its divisors is an integer number (958340835).

Almost surely, 210222302120 is an apocalyptic number.

10222302120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222302120 is an abundant number, since it is smaller than the sum of its proper divisors (20444604600).

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

10222302120 is a wasteful number, since it uses less digits than its factorization.

10222302120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85185865 (or 85185861 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 10222302120 its reverse (2120322201), we get a palindrome (12342624321).

The spelling of 10222302120 in words is "ten billion, two hundred twenty-two million, three hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 85185851 170371702 255557553 340743404 425929255 511115106 681486808 851858510 1022230212 1277787765 1703717020 2044460424 2555575530 3407434040 5111151060 10222302120