Search a number
-
+
131141100341441 = 23383110331814243
BaseRepresentation
bin11101110100010110101010…
…101100111000100011000001
3122012022222002202121201200202
4131310112222230320203001
5114142103433141411231
61142525220110254545
736423426501444401
oct3564265254704301
9565288082551622
10131141100341441
11388706a0335053
12128600351b7455
135823725382c08
142455398020801
1510264334335cb
hex7745aab388c1

131141100341441 has 32 divisors (see below), whose sum is σ = 137400113037312. Its totient is φ = 124929620988480.

The previous prime is 131141100341429. The next prime is 131141100341477. The reversal of 131141100341441 is 144143001141131.

It is a cyclic number.

It is not a de Polignac number, because 131141100341441 - 222 = 131141096147137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131141100341411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30907634066 + ... + 30907638308.

It is an arithmetic number, because the mean of its divisors is an integer number (4293753532416).

Almost surely, 2131141100341441 is an apocalyptic number.

It is an amenable number.

131141100341441 is a deficient number, since it is larger than the sum of its proper divisors (6259012695871).

131141100341441 is a wasteful number, since it uses less digits than its factorization.

131141100341441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8933.

The product of its (nonzero) digits is 2304, while the sum is 29.

Adding to 131141100341441 its reverse (144143001141131), we get a palindrome (275284101482572).

The spelling of 131141100341441 in words is "one hundred thirty-one trillion, one hundred forty-one billion, one hundred million, three hundred forty-one thousand, four hundred forty-one".

Divisors: 1 23 383 1103 3181 4243 8809 25369 73163 97589 422449 1218323 1625069 3508643 4680029 9716327 13496983 28021429 37376587 80698789 107640667 310430609 1343810269 1792451107 5169344489 14887172249 30907636187 41226375461 118894923247 342404961727 5701786971367 131141100341441