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21143120013 = 34733575701
BaseRepresentation
bin10011101100001110…
…100110100010001101
32000120111111210010000
4103230032212202031
5321300114320023
613414002234513
71345642361211
oct235416464215
960514453100
1021143120013
118a6a816004
124120955a39
131cbc475302
14104804a941
1583b2bd243
hex4ec3a688d

21143120013 has 20 divisors (see below), whose sum is σ = 32016835708. Its totient is φ = 13902321600.

The previous prime is 21143119993. The next prime is 21143120021. The reversal of 21143120013 is 31002134112.

21143120013 is a `hidden beast` number, since 21 + 1 + 431 + 200 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4433162724 + 16709957289 = 66582^2 + 129267^2 .

It is not a de Polignac number, because 21143120013 - 234 = 3963250829 is a prime.

It is a super-2 number, since 2×211431200132 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21143120023) 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 19 ways as a sum of consecutive naturals, for example, 1781938 + ... + 1793763.

Almost surely, 221143120013 is an apocalyptic number.

It is an amenable number.

21143120013 is a deficient number, since it is larger than the sum of its proper divisors (10873715695).

21143120013 is an equidigital number, since it uses as much as digits as its factorization.

21143120013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3575786 (or 3575777 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21143120013 its reverse (31002134112), we get a palindrome (52145254125).

The spelling of 21143120013 in words is "twenty-one billion, one hundred forty-three million, one hundred twenty thousand, thirteen".

Divisors: 1 3 9 27 73 81 219 657 1971 5913 3575701 10727103 32181309 96543927 261026173 289631781 783078519 2349235557 7047706671 21143120013