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20102110120 = 235541928933
BaseRepresentation
bin10010101110001011…
…011101101110101000
31220212221200000000001
4102232023131232220
5312132120010440
613122413552344
71311102055021
oct225613355650
956787600001
1020102110120
118586131954
123a901a56b4
131b848a9a21
14d89aa5c48
157c9bdab9a
hex4ae2ddba8

20102110120 has 32 divisors (see below), whose sum is σ = 45313400520. Its totient is φ = 8025972480.

The previous prime is 20102110117. The next prime is 20102110121. The reversal of 20102110120 is 2101120102.

It can be written as a sum of positive squares in 4 ways, for example, as 10858056804 + 9244053316 = 104202^2 + 96146^2 .

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 = 20102110097 and 20102110106.

It is not an unprimeable number, because it can be changed into a prime (20102110121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 442827 + ... + 486106.

Almost surely, 220102110120 is an apocalyptic number.

20102110120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20102110120 is an abundant number, since it is smaller than the sum of its proper divisors (25211290400).

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

20102110120 is a wasteful number, since it uses less digits than its factorization.

20102110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929485 (or 929481 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 20102110120 its reverse (2101120102), we get a palindrome (22203230222).

The spelling of 20102110120 in words is "twenty billion, one hundred two million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 541 1082 2164 2705 4328 5410 10820 21640 928933 1857866 3715732 4644665 7431464 9289330 18578660 37157320 502552753 1005105506 2010211012 2512763765 4020422024 5025527530 10051055060 20102110120