Search a number
-
+
131330133033 = 31129137231069
BaseRepresentation
bin111101001001111100…
…0101100110000101001
3110112222121211000010020
41322103320230300221
54122431003224113
6140155432311053
712326324466141
oct1722370546051
9415877730106
10131330133033
1150773488830
1221552242489
13c4cc6301b8
1464dbdd1921
153639a07023
hex1e93e2cc29

131330133033 has 16 divisors (see below), whose sum is σ = 197612740800. Its totient is φ = 76849398080.

The previous prime is 131330133019. The next prime is 131330133049. The reversal of 131330133033 is 330331033131.

It is a cyclic number.

It is not a de Polignac number, because 131330133033 - 213 = 131330124841 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 131330132994 and 131330133012.

It is not an unprimeable number, because it can be changed into a prime (131330133533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68614578 + ... + 68616491.

It is an arithmetic number, because the mean of its divisors is an integer number (12350796300).

Almost surely, 2131330133033 is an apocalyptic number.

It is an amenable number.

131330133033 is a deficient number, since it is larger than the sum of its proper divisors (66282607767).

131330133033 is a wasteful number, since it uses less digits than its factorization.

131330133033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137231112.

The product of its (nonzero) digits is 2187, while the sum is 24.

Adding to 131330133033 its reverse (330331033131), we get a palindrome (461661166164).

The spelling of 131330133033 in words is "one hundred thirty-one billion, three hundred thirty million, one hundred thirty-three thousand, thirty-three".

Divisors: 1 3 11 29 33 87 319 957 137231069 411693207 1509541759 3979701001 4528625277 11939103003 43776711011 131330133033