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20122102016 = 28411917121
BaseRepresentation
bin10010101111010111…
…101110100100000000
31220221100021200201122
4102233113232210000
5312202224231031
613124410251412
71311434021312
oct225727564400
956840250648
1020122102016
118596447085
123a96a26b68
131b88a89553
14d8c5cb7b2
157cb83947b
hex4af5ee900

20122102016 has 36 divisors (see below), whose sum is σ = 41145272364. Its totient is φ = 9815654400.

The previous prime is 20122101997. The next prime is 20122102031. The reversal of 20122102016 is 61020122102.

It can be written as a sum of positive squares in 2 ways, for example, as 2992527616 + 17129574400 = 54704^2 + 130880^2 .

It is a super-2 number, since 2×201221020162 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20122101985 and 20122102003.

It is an unprimeable number.

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, 948065 + ... + 969056.

Almost surely, 220122102016 is an apocalyptic number.

It is an amenable number.

20122102016 is an abundant number, since it is smaller than the sum of its proper divisors (21023170348).

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

20122102016 is an equidigital number, since it uses as much as digits as its factorization.

20122102016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1917178 (or 1917164 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 20122102016 its reverse (61020122102), we get a palindrome (81142224118).

The spelling of 20122102016 in words is "twenty billion, one hundred twenty-two million, one hundred two thousand, sixteen".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 328 656 1312 2624 5248 10496 1917121 3834242 7668484 15336968 30673936 61347872 78601961 122695744 157203922 245391488 314407844 490782976 628815688 1257631376 2515262752 5030525504 10061051008 20122102016