Search a number
-
+
131324443002 = 232431543109961
BaseRepresentation
bin111101001001110001…
…0111111100101111010
3110112222020002220212100
41322103202333211322
54122423024134002
6140155110324230
712326225230134
oct1722342774572
9415866086770
10131324443002
1150770251825
1221550359676
13c4cb3ba30c
1464db350054
15363928111c
hex1e938bf97a

131324443002 has 48 divisors (see below), whose sum is σ = 291344758848. Its totient is φ = 42728696640.

The previous prime is 131324442983. The next prime is 131324443009. The reversal of 131324443002 is 200344423131.

131324443002 is a `hidden beast` number, since 1 + 31 + 324 + 4 + 4 + 300 + 2 = 666.

It is a super-3 number, since 3×1313244430023 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (131324443009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1139302 + ... + 1249262.

It is an arithmetic number, because the mean of its divisors is an integer number (6069682476).

Almost surely, 2131324443002 is an apocalyptic number.

131324443002 is an abundant number, since it is smaller than the sum of its proper divisors (160020315846).

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

131324443002 is a wasteful number, since it uses less digits than its factorization.

131324443002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111555 (or 111552 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 131324443002 its reverse (200344423131), we get a palindrome (331668866133).

The spelling of 131324443002 in words is "one hundred thirty-one billion, three hundred twenty-four million, four hundred forty-three thousand, two".

Divisors: 1 2 3 6 9 18 43 86 129 258 387 774 1543 3086 4629 9258 13887 27774 66349 109961 132698 199047 219922 329883 398094 597141 659766 989649 1194282 1979298 4728323 9456646 14184969 28369938 42554907 85109814 169669823 339339646 509009469 1018018938 1527028407 3054056814 7295802389 14591604778 21887407167 43774814334 65662221501 131324443002