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6121084131 = 321514504109
BaseRepresentation
bin1011011001101100…
…00101010011100011
3120210120220021212200
411230312011103203
5100013444143011
62451220024243
7304454233221
oct55466052343
916716807780
106121084131
112661213118
121229b32083
137671b2296
14420d2bb11
1525c5a4856
hex16cd854e3

6121084131 has 12 divisors (see below), whose sum is σ = 8900121360. Its totient is φ = 4053697200.

The previous prime is 6121084111. The next prime is 6121084133. The reversal of 6121084131 is 1314801216.

It is a happy number.

6121084131 is a `hidden beast` number, since 612 + 1 + 0 + 8 + 41 + 3 + 1 = 666.

It is not a de Polignac number, because 6121084131 - 210 = 6121083107 is a prime.

It is a super-3 number, since 3×61210841313 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 6121084095 and 6121084104.

It is not an unprimeable number, because it can be changed into a prime (6121084133) 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 11 ways as a sum of consecutive naturals, for example, 2250696 + ... + 2253413.

It is an arithmetic number, because the mean of its divisors is an integer number (741676780).

Almost surely, 26121084131 is an apocalyptic number.

6121084131 is a deficient number, since it is larger than the sum of its proper divisors (2779037229).

6121084131 is a wasteful number, since it uses less digits than its factorization.

6121084131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4504266 (or 4504263 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 6121084131 is about 78237.3576432640. The cubic root of 6121084131 is about 1829.2628572813.

Adding to 6121084131 its reverse (1314801216), we get a palindrome (7435885347).

The spelling of 6121084131 in words is "six billion, one hundred twenty-one million, eighty-four thousand, one hundred thirty-one".

Divisors: 1 3 9 151 453 1359 4504109 13512327 40536981 680120459 2040361377 6121084131