Search a number
-
+
131983032588105 = 3549991760125793
BaseRepresentation
bin11110000000100110110001…
…110001100001011101001001
3122022022110021110200022022010
4132000212301301201131021
5114244402222320304410
61144412100152250133
736541313404453416
oct3600466161413511
9568273243608263
10131983032588105
1139065765118356
12129772426a0949
135884c3c7c615a
14248402741310d
15103d2acb89c20
hex7809b1c61749

131983032588105 has 16 divisors (see below), whose sum is σ = 211215095280000. Its totient is φ = 70376869667328.

The previous prime is 131983032588103. The next prime is 131983032588131. The reversal of 131983032588105 is 501885230389131.

It is not a de Polignac number, because 131983032588105 - 21 = 131983032588103 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (131983032588101) 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, 879987912 + ... + 880137881.

It is an arithmetic number, because the mean of its divisors is an integer number (13200943455000).

Almost surely, 2131983032588105 is an apocalyptic number.

131983032588105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131983032588105 is a deficient number, since it is larger than the sum of its proper divisors (79232062691895).

131983032588105 is a wasteful number, since it uses less digits than its factorization.

131983032588105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1760130800.

The product of its (nonzero) digits is 6220800, while the sum is 57.

The spelling of 131983032588105 in words is "one hundred thirty-one trillion, nine hundred eighty-three billion, thirty-two million, five hundred eighty-eight thousand, one hundred five".

Divisors: 1 3 5 15 4999 14997 24995 74985 1760125793 5280377379 8800628965 26401886895 8798868839207 26396606517621 43994344196035 131983032588105