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131043141 = 3229502081
BaseRepresentation
bin1111100111110…
…00111101000101
3100010120200101200
413303320331011
5232021340031
621000413113
73150563655
oct763707505
9303520350
10131043141
1167a74719
1237a77199
13211c2528
1413592365
15b7878e6
hex7cf8f45

131043141 has 12 divisors (see below), whose sum is σ = 195811980. Its totient is φ = 84349440.

The previous prime is 131043127. The next prime is 131043151. The reversal of 131043141 is 141340131.

It can be written as a sum of positive squares in 2 ways, for example, as 83722500 + 47320641 = 9150^2 + 6879^2 .

It is not a de Polignac number, because 131043141 - 213 = 131034949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131043151) 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, 250780 + ... + 251301.

It is an arithmetic number, because the mean of its divisors is an integer number (16317665).

Almost surely, 2131043141 is an apocalyptic number.

It is an amenable number.

131043141 is a deficient number, since it is larger than the sum of its proper divisors (64768839).

131043141 is a wasteful number, since it uses less digits than its factorization.

131043141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502116 (or 502113 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 131043141 is about 11447.4076104592. The cubic root of 131043141 is about 507.9310529632.

Adding to 131043141 its reverse (141340131), we get a palindrome (272383272).

The spelling of 131043141 in words is "one hundred thirty-one million, forty-three thousand, one hundred forty-one".

Divisors: 1 3 9 29 87 261 502081 1506243 4518729 14560349 43681047 131043141