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3000344134131 = 325910315480471
BaseRepresentation
bin101011101010010010011…
…100100100000111110011
3101121211102010211002201200
4223222102130210013303
5343124201044243011
610214201123302243
7426524216230431
oct53522234440763
911554363732650
103000344134131
11a57491054853
124055a121a983
13189c14c11176
14a53088b7d51
15530a4a6e856
hex2ba927241f3

3000344134131 has 24 divisors (see below), whose sum is σ = 4411560741120. Its totient is φ = 1964419666800.

The previous prime is 3000344134129. The next prime is 3000344134163. The reversal of 3000344134131 is 1314314430003.

3000344134131 is a `hidden beast` number, since 300 + 0 + 344 + 1 + 3 + 4 + 13 + 1 = 666.

3000344134131 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 3000344134131 - 21 = 3000344134129 is a prime.

It is a super-2 number, since 2×30003441341312 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3000344134095 and 3000344134104.

It is not an unprimeable number, because it can be changed into a prime (3000344130131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2192775 + ... + 3287696.

It is an arithmetic number, because the mean of its divisors is an integer number (183815030880).

Almost surely, 23000344134131 is an apocalyptic number.

3000344134131 is a deficient number, since it is larger than the sum of its proper divisors (1411216606989).

3000344134131 is a wasteful number, since it uses less digits than its factorization.

3000344134131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5481567 (or 5481564 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 3000344134131 its reverse (1314314430003), we get a palindrome (4314658564134).

The spelling of 3000344134131 in words is "three trillion, three hundred forty-four million, one hundred thirty-four thousand, one hundred thirty-one".

Divisors: 1 3 9 59 177 531 1031 3093 9279 60829 182487 547461 5480471 16441413 49324239 323347789 970043367 2910130101 5650365601 16951096803 50853290409 333371570459 1000114711377 3000344134131