Search a number
-
+
131100255 = 33511136791
BaseRepresentation
bin1111101000001…
…10111001011111
3100010200120202000
413310012321133
5232030202010
621001533343
73151222326
oct764067137
9303616660
10131100255
1168003620
1237aa4253
1321212520
14135a90bd
15b7997c0
hex7d06e5f

131100255 has 64 divisors (see below), whose sum is σ = 273853440. Its totient is φ = 58665600.

The previous prime is 131100251. The next prime is 131100257. The reversal of 131100255 is 552001131.

It is not a de Polignac number, because 131100255 - 22 = 131100251 is a prime.

It is a super-2 number, since 2×1311002552 = 34374553722130050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131100251) 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 63 ways as a sum of consecutive naturals, for example, 15910 + ... + 22700.

It is an arithmetic number, because the mean of its divisors is an integer number (4278960).

Almost surely, 2131100255 is an apocalyptic number.

131100255 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131100255 is an abundant number, since it is smaller than the sum of its proper divisors (142753185).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131100255 is a wasteful number, since it uses less digits than its factorization.

131100255 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6829 (or 6823 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 131100255 is about 11449.9019646458. The cubic root of 131100255 is about 508.0048346720.

Adding to 131100255 its reverse (552001131), we get a palindrome (683101386).

The spelling of 131100255 in words is "one hundred thirty-one million, one hundred thousand, two hundred fifty-five".

Divisors: 1 3 5 9 11 13 15 27 33 39 45 55 65 99 117 135 143 165 195 297 351 429 495 585 715 1287 1485 1755 2145 3861 6435 6791 19305 20373 33955 61119 74701 88283 101865 183357 224103 264849 305595 373505 441415 672309 794547 916785 971113 1120515 1324245 2016927 2383641 2913339 3361545 3972735 4855565 8740017 10084635 11918205 14566695 26220051 43700085 131100255