Search a number
-
+
131020113011233 = 1730949249024701
BaseRepresentation
bin11101110010100101111111…
…010010110110001000100001
3122011220101210221121112202211
4131302211333102312020201
5114133113142412324413
61142353450424042121
736411614353220305
oct3562457722661041
9564811727545684
10131020113011233
1138824355120156
12128406aa903341
1358151b37764b4
14244d59b907d05
15102320195083d
hex77297f4b6221

131020113011233 has 8 divisors (see below), whose sum is σ = 138731661484200. Its totient is φ = 123309062649600.

The previous prime is 131020113011219. The next prime is 131020113011297. The reversal of 131020113011233 is 332110311020131.

It can be written as a sum of positive squares in 4 ways, for example, as 59874059535889 + 71146053475344 = 7737833^2 + 8434812^2 .

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 131020113011233 - 233 = 131011523076641 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131020113011213) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123986218 + ... + 125038483.

It is an arithmetic number, because the mean of its divisors is an integer number (17341457685525).

Almost surely, 2131020113011233 is an apocalyptic number.

It is an amenable number.

131020113011233 is a deficient number, since it is larger than the sum of its proper divisors (7711548472967).

131020113011233 is a wasteful number, since it uses less digits than its factorization.

131020113011233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249055667.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 131020113011233 its reverse (332110311020131), we get a palindrome (463130424031364).

The spelling of 131020113011233 in words is "one hundred thirty-one trillion, twenty billion, one hundred thirteen million, eleven thousand, two hundred thirty-three".

Divisors: 1 17 30949 526133 249024701 4233419917 7707065471249 131020113011233