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2731712061061 is a prime number
BaseRepresentation
bin100111110000000110101…
…110100001111010000101
3100200011000201011212100001
4213300012232201322011
5324224021241423221
65450533045521301
7401234241255064
oct47600656417205
910604021155301
102731712061061
11963570274305
12381510a13231
1316a7a39a6689
14963037441db
154b0d1146391
hex27c06ba1e85

2731712061061 has 2 divisors, whose sum is σ = 2731712061062. Its totient is φ = 2731712061060.

The previous prime is 2731712061059. The next prime is 2731712061083. The reversal of 2731712061061 is 1601602171372.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2602107741025 + 129604320036 = 1613105^2 + 360006^2 .

It is a cyclic number.

It is not a de Polignac number, because 2731712061061 - 21 = 2731712061059 is a prime.

It is a super-2 number, since 2×27317120610612 (a number of 26 digits) contains 22 as substring.

Together with 2731712061059, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 2731712061061.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2731712064061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1365856030530 + 1365856030531.

It is an arithmetic number, because the mean of its divisors is an integer number (1365856030531).

Almost surely, 22731712061061 is an apocalyptic number.

It is an amenable number.

2731712061061 is a deficient number, since it is larger than the sum of its proper divisors (1).

2731712061061 is an equidigital number, since it uses as much as digits as its factorization.

2731712061061 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 21168, while the sum is 37.

The spelling of 2731712061061 in words is "two trillion, seven hundred thirty-one billion, seven hundred twelve million, sixty-one thousand, sixty-one".