Search a number
-
+
2741131606113 = 331391257758073
BaseRepresentation
bin100111111000111000001…
…011001111100001100001
3100201001100011201022222000
4213320320023033201201
5324402314142343423
65455131455234213
7402016540133415
oct47707013174141
910631304638860
102741131606113
1196756436a98a
123832bb518969
1316b64534c584
149695876ad45
154b483097843
hex27e382cf861

2741131606113 has 32 divisors (see below), whose sum is σ = 4090546723200. Its totient is φ = 1814098664448.

The previous prime is 2741131606069. The next prime is 2741131606153. The reversal of 2741131606113 is 3116061311472.

2741131606113 is a `hidden beast` number, since 2 + 7 + 4 + 1 + 1 + 31 + 6 + 0 + 611 + 3 = 666.

2741131606113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2741131606113 - 221 = 2741129508961 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2741131606153) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47172445 + ... + 47230517.

It is an arithmetic number, because the mean of its divisors is an integer number (127829585100).

Almost surely, 22741131606113 is an apocalyptic number.

It is an amenable number.

2741131606113 is a deficient number, since it is larger than the sum of its proper divisors (1349415117087).

2741131606113 is a wasteful number, since it uses less digits than its factorization.

2741131606113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70798 (or 70792 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

Adding to 2741131606113 its reverse (3116061311472), we get a palindrome (5857192917585).

The spelling of 2741131606113 in words is "two trillion, seven hundred forty-one billion, one hundred thirty-one million, six hundred six thousand, one hundred thirteen".

Divisors: 1 3 9 27 139 417 1251 3753 12577 37731 58073 113193 174219 339579 522657 1567971 1748203 5244609 8072147 15733827 24216441 47201481 72649323 217947969 730384121 2191152363 6573457089 19720371267 101523392819 304570178457 913710535371 2741131606113