Search a number
-
+
131011114430441 = 7733734591149717
BaseRepresentation
bin11101110010011101100110…
…111011111110111111101001
3122011212112120211012021112202
4131302131212323332333221
5114132441230243233231
61142345401453145545
736411145355440010
oct3562354673767751
9564775524167482
10131011114430441
1138820557709223
121283a9b918b2b5
1358143ab3a218b
14244cd86781a77
151022d769545cb
hex772766efefe9

131011114430441 has 32 divisors (see below), whose sum is σ = 152219119438848. Its totient is φ = 110435216693760.

The previous prime is 131011114430431. The next prime is 131011114430491. The reversal of 131011114430441 is 144034411110131.

It is not a de Polignac number, because 131011114430441 - 214 = 131011114414057 is a prime.

It is a super-2 number, since 2×1310111144304412 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131011114430401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 874983515 + ... + 875133231.

It is an arithmetic number, because the mean of its divisors is an integer number (4756847482464).

Almost surely, 2131011114430441 is an apocalyptic number.

It is an amenable number.

131011114430441 is a deficient number, since it is larger than the sum of its proper divisors (21208005008407).

131011114430441 is a wasteful number, since it uses less digits than its factorization.

131011114430441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154761.

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

Adding to 131011114430441 its reverse (144034411110131), we get a palindrome (275045525540572).

The spelling of 131011114430441 in words is "one hundred thirty-one trillion, eleven billion, one hundred fourteen million, four hundred thirty thousand, four hundred forty-one".

Divisors: 1 7 73 373 511 2611 4591 27229 32137 149717 190603 335143 1048019 1712443 2346001 10929341 11987101 55844441 76505387 125008339 390911087 687350747 875058373 4076644193 4811455229 28536509351 50176604531 256381828631 351236231717 1794672800417 18715873490063 131011114430441