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20021000113 = 17269276817
BaseRepresentation
bin10010101001010110…
…000011011110110001
31220200022001011222201
4102221112003132301
5312000334000423
613110355303201
71306065456502
oct225126033661
956608034881
1020021000113
118544372794
123a68baab01
131b70b4b33a
14d7cdd0ba9
157c2a182ad
hex4a95837b1

20021000113 has 6 divisors (see below), whose sum is σ = 21267983126. Its totient is φ = 18843293952.

The previous prime is 20021000101. The next prime is 20021000117. The reversal of 20021000113 is 31100012002.

It can be written as a sum of positive squares in 3 ways, for example, as 6082128144 + 13938871969 = 77988^2 + 118063^2 .

It is not a de Polignac number, because 20021000113 - 29 = 20020999601 is a prime.

It is a super-3 number, since 3×200210001133 (a number of 32 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 20021000113.

It is not an unprimeable number, because it can be changed into a prime (20021000117) 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 5 ways as a sum of consecutive naturals, for example, 34638120 + ... + 34638697.

Almost surely, 220021000113 is an apocalyptic number.

It is an amenable number.

20021000113 is a deficient number, since it is larger than the sum of its proper divisors (1246983013).

20021000113 is an equidigital number, since it uses as much as digits as its factorization.

20021000113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69276851 (or 69276834 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 20021000113 its reverse (31100012002), we get a palindrome (51121012115).

The spelling of 20021000113 in words is "twenty billion, twenty-one million, one hundred thirteen", and thus it is an aban number.

Divisors: 1 17 289 69276817 1177705889 20021000113