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20985681141 = 3222910339857
BaseRepresentation
bin10011100010110110…
…000001010011110101
32000011112021001120200
4103202312001103311
5320434313244031
613350215551113
71342021226565
oct234266012365
960145231520
1020985681141
118999962937
12409808b499
131c95970509
141031186da5
1582c56e8e6
hex4e2d814f5

20985681141 has 24 divisors (see below), whose sum is σ = 30477584280. Its totient is φ = 13914464256.

The previous prime is 20985681113. The next prime is 20985681169. The reversal of 20985681141 is 14118658902.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20985681113) and next prime (20985681169).

It can be written as a sum of positive squares in 4 ways, for example, as 12582108900 + 8403572241 = 112170^2 + 91671^2 .

It is not a de Polignac number, because 20985681141 - 26 = 20985681077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20985685141) 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 23 ways as a sum of consecutive naturals, for example, 2124085 + ... + 2133941.

It is an arithmetic number, because the mean of its divisors is an integer number (1269899345).

Almost surely, 220985681141 is an apocalyptic number.

It is an amenable number.

20985681141 is a deficient number, since it is larger than the sum of its proper divisors (9491903139).

20985681141 is a wasteful number, since it uses less digits than its factorization.

20985681141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11125 (or 11122 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 20985681141 in words is "twenty billion, nine hundred eighty-five million, six hundred eighty-one thousand, one hundred forty-one".

Divisors: 1 3 9 229 687 1033 2061 3099 9297 9857 29571 88713 236557 709671 2129013 2257253 6771759 10182281 20315277 30546843 91640529 2331742349 6995227047 20985681141