Search a number
-
+
131120302293 = 32109097133541
BaseRepresentation
bin111101000011101100…
…0010000100011010101
3110112102222222111110100
41322013120100203111
54122013244133133
6140122535044313
712321166115541
oct1720730204325
9415388874410
10131120302293
1150675aa08a2
12214b3b10699
13c4980133b6
1464bc1b0a21
1536263a9e13
hex1e876108d5

131120302293 has 12 divisors (see below), whose sum is σ = 189399146508. Its totient is φ = 87412079040.

The previous prime is 131120302249. The next prime is 131120302319. The reversal of 131120302293 is 392203021131.

131120302293 is a `hidden beast` number, since 1 + 311 + 20 + 302 + 29 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 59018385969 + 72101916324 = 242937^2 + 268518^2 .

It is not a de Polignac number, because 131120302293 - 210 = 131120301269 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131120300293) 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, 915103 + ... + 1048643.

It is an arithmetic number, because the mean of its divisors is an integer number (15783262209).

Almost surely, 2131120302293 is an apocalyptic number.

It is an amenable number.

131120302293 is a deficient number, since it is larger than the sum of its proper divisors (58278844215).

131120302293 is a wasteful number, since it uses less digits than its factorization.

131120302293 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242644 (or 242641 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 131120302293 in words is "one hundred thirty-one billion, one hundred twenty million, three hundred two thousand, two hundred ninety-three".

Divisors: 1 3 9 109097 133541 327291 400623 981873 1201869 14568922477 43706767431 131120302293