Search a number
-
+
131001443130 = 23519122862381
BaseRepresentation
bin111101000000001001…
…0110110001100111010
3110112010201022211100010
41322000102312030322
54121242332140010
6140103051322350
712315223615425
oct1720022661472
9415121284303
10131001443130
1150614999188
12214801503b6
13c4794c882c
1464aa4b09bc
15361ac2c620
hex1e804b633a

131001443130 has 32 divisors (see below), whose sum is σ = 316049568768. Its totient is φ = 34750817600.

The previous prime is 131001443057. The next prime is 131001443149. The reversal of 131001443130 is 31344100131.

It is a super-2 number, since 2×1310014431302 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 131001443097 and 131001443106.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 11425461 + ... + 11436920.

It is an arithmetic number, because the mean of its divisors is an integer number (9876549024).

Almost surely, 2131001443130 is an apocalyptic number.

131001443130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131001443130 is an abundant number, since it is smaller than the sum of its proper divisors (185048125638).

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

131001443130 is a wasteful number, since it uses less digits than its factorization.

131001443130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22862582.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 131001443130 its reverse (31344100131), we get a palindrome (162345543261).

The spelling of 131001443130 in words is "one hundred thirty-one billion, one million, four hundred forty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 191 382 573 955 1146 1910 2865 5730 22862381 45724762 68587143 114311905 137174286 228623810 342935715 685871430 4366714771 8733429542 13100144313 21833573855 26200288626 43667147710 65500721565 131001443130