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20727138311 = 1159107298477
BaseRepresentation
bin10011010011011011…
…110000100000000111
31222111111202201111022
4103103123300200013
5314422121411221
613304422301355
71332431524445
oct232333604007
958444681438
1020727138311
118876a24880
12402558785b
131c542295a9
141008ac5b95
158149ee4ab
hex4d36f0807

20727138311 has 16 divisors (see below), whose sum is σ = 23209649280. Its totient is φ = 18350304480.

The previous prime is 20727138301. The next prime is 20727138343. The reversal of 20727138311 is 11383172702.

It is a cyclic number.

It is not a de Polignac number, because 20727138311 - 222 = 20722944007 is a prime.

It is a super-2 number, since 2×207271383112 (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 (20727138301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79796 + ... + 218681.

It is an arithmetic number, because the mean of its divisors is an integer number (1450603080).

Almost surely, 220727138311 is an apocalyptic number.

20727138311 is a deficient number, since it is larger than the sum of its proper divisors (2482510969).

20727138311 is a wasteful number, since it uses less digits than its factorization.

20727138311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298654.

The product of its (nonzero) digits is 14112, while the sum is 35.

The spelling of 20727138311 in words is "twenty billion, seven hundred twenty-seven million, one hundred thirty-eight thousand, three hundred eleven".

Divisors: 1 11 59 107 649 1177 6313 69443 298477 3283247 17610143 31937039 193711573 351307429 1884285301 20727138311