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20102233120 = 255125638957
BaseRepresentation
bin10010101110001011…
…111011110000100000
31220212221220020201121
4102232023323300200
5312132132424440
613122420342024
71311103106434
oct225613736040
956787806647
1020102233120
118586206302
123a90244914
131b849209c8
14d89ad89c4
157c9c1234a
hex4ae2fbc20

20102233120 has 24 divisors (see below), whose sum is σ = 47491526124. Its totient is φ = 8040893184.

The previous prime is 20102233097. The next prime is 20102233121. The reversal of 20102233120 is 2133220102.

It can be written as a sum of positive squares in 2 ways, for example, as 20013195024 + 89038096 = 141468^2 + 9436^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 20102233094 and 20102233103.

It is not an unprimeable number, because it can be changed into a prime (20102233121) 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 3 ways as a sum of consecutive naturals, for example, 62819319 + ... + 62819638.

Almost surely, 220102233120 is an apocalyptic number.

20102233120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20102233120 is an abundant number, since it is smaller than the sum of its proper divisors (27389293004).

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

20102233120 is a wasteful number, since it uses less digits than its factorization.

20102233120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125638972 (or 125638964 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 20102233120 its reverse (2133220102), we get a palindrome (22235453222).

The spelling of 20102233120 in words is "twenty billion, one hundred two million, two hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 125638957 251277914 502555828 628194785 1005111656 1256389570 2010223312 2512779140 4020446624 5025558280 10051116560 20102233120