Search a number
-
+
131034333441 = 3113970737377
BaseRepresentation
bin111101000001001000…
…0010100000100000001
3110112020000012211100210
41322002100110010001
54121324242132231
6140110224304333
712316103312514
oct1720220240401
9415200184323
10131034333441
1150631513160
122148b1720a9
13c48327325b
1464b09d2d7b
15361da77a46
hex1e82414101

131034333441 has 8 divisors (see below), whose sum is σ = 190595394144. Its totient is φ = 79414747520.

The previous prime is 131034333433. The next prime is 131034333467. The reversal of 131034333441 is 144333430131.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131034333441 - 23 = 131034333433 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 131034333399 and 131034333408.

It is not an unprimeable number, because it can be changed into a prime (131034333481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1985368656 + ... + 1985368721.

It is an arithmetic number, because the mean of its divisors is an integer number (23824424268).

Almost surely, 2131034333441 is an apocalyptic number.

131034333441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131034333441 is a deficient number, since it is larger than the sum of its proper divisors (59561060703).

131034333441 is a wasteful number, since it uses less digits than its factorization.

131034333441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3970737391.

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 131034333441 its reverse (144333430131), we get a palindrome (275367763572).

The spelling of 131034333441 in words is "one hundred thirty-one billion, thirty-four million, three hundred thirty-three thousand, four hundred forty-one".

Divisors: 1 3 11 33 3970737377 11912212131 43678111147 131034333441