Search a number
-
+
131041053 = 321113293511
BaseRepresentation
bin1111100111110…
…00011100011101
3100010120120112100
413303320130131
5232021303203
621000355313
73150554613
oct763703435
9303516470
10131041053
1167a730a0
1237a75b39
13211c15b0
14135916b3
15b786ea3
hex7cf871d

131041053 has 48 divisors (see below), whose sum is σ = 230106240. Its totient is φ = 70761600.

The previous prime is 131041037. The next prime is 131041073. The reversal of 131041053 is 350140131.

It is not a de Polignac number, because 131041053 - 24 = 131041037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131041033) 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 47 ways as a sum of consecutive naturals, for example, 35568 + ... + 39078.

It is an arithmetic number, because the mean of its divisors is an integer number (4793880).

Almost surely, 2131041053 is an apocalyptic number.

131041053 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131041053 is a deficient number, since it is larger than the sum of its proper divisors (99065187).

131041053 is a wasteful number, since it uses less digits than its factorization.

131041053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3570 (or 3567 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 131041053 is about 11447.3164104082. The cubic root of 131041053 is about 507.9283552113.

Adding to 131041053 its reverse (350140131), we get a palindrome (481181184).

The spelling of 131041053 in words is "one hundred thirty-one million, forty-one thousand, fifty-three".

Divisors: 1 3 9 11 13 29 33 39 87 99 117 143 261 319 377 429 957 1131 1287 2871 3393 3511 4147 10533 12441 31599 37323 38621 45643 101819 115863 136929 305457 347589 410787 502073 916371 1120009 1323647 1506219 3360027 3970941 4518657 10080081 11912823 14560117 43680351 131041053