Search a number
-
+
131144322 = 23293141593
BaseRepresentation
bin1111101000100…
…01101010000010
3100010202211012010
413310101222002
5232033104242
621002513350
73151464651
oct764215202
9303684163
10131144322
1168033741
1237b05856
13212295ba
14135bb198
15b7a789c
hex7d11a82

131144322 has 64 divisors (see below), whose sum is σ = 287400960. Its totient is φ = 39782400.

The previous prime is 131144311. The next prime is 131144323. The reversal of 131144322 is 223441131.

It is not an unprimeable number, because it can be changed into a prime (131144323) 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, 220858 + ... + 221450.

It is an arithmetic number, because the mean of its divisors is an integer number (4490640).

Almost surely, 2131144322 is an apocalyptic number.

131144322 is an abundant number, since it is smaller than the sum of its proper divisors (156256638).

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

131144322 is a wasteful number, since it uses less digits than its factorization.

131144322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699.

The product of its digits is 576, while the sum is 21.

The square root of 131144322 is about 11451.8261425853. The cubic root of 131144322 is about 508.0617472012.

Adding to 131144322 its reverse (223441131), we get a palindrome (354585453).

It can be divided in two parts, 131 and 144322, that added together give a triangular number (144453 = T537).

The spelling of 131144322 in words is "one hundred thirty-one million, one hundred forty-four thousand, three hundred twenty-two".

Divisors: 1 2 3 6 29 31 41 58 62 82 87 93 123 174 186 246 593 899 1186 1189 1271 1779 1798 2378 2542 2697 3558 3567 3813 5394 7134 7626 17197 18383 24313 34394 36766 36859 48626 51591 55149 72939 73718 103182 110298 110577 145878 221154 533107 705077 753703 1066214 1410154 1507406 1599321 2115231 2261109 3198642 4230462 4522218 21857387 43714774 65572161 131144322