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131330033124 = 22310944169427
BaseRepresentation
bin111101001001111100…
…0010100010111100100
3110112222121121221001220
41322103320110113210
54122430442024444
6140155430220340
712326323601643
oct1722370242744
9415877557056
10131330033124
115077341a764
12215521b46b0
13c4cc5c6894
1464dbda735a
1536399d7619
hex1e93e145e4

131330033124 has 12 divisors (see below), whose sum is σ = 306436743984. Its totient is φ = 43776677704.

The previous prime is 131330033119. The next prime is 131330033129. The reversal of 131330033124 is 421330033131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (131330033119) and next prime (131330033129).

It is a tau number, because it is divible by the number of its divisors (12).

It is a junction number, because it is equal to n+sod(n) for n = 131330033094 and 131330033103.

It is not an unprimeable number, because it can be changed into a prime (131330033129) 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 3 ways as a sum of consecutive naturals, for example, 5472084702 + ... + 5472084725.

It is an arithmetic number, because the mean of its divisors is an integer number (25536395332).

Almost surely, 2131330033124 is an apocalyptic number.

It is an amenable number.

131330033124 is an abundant number, since it is smaller than the sum of its proper divisors (175106710860).

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

131330033124 is a wasteful number, since it uses less digits than its factorization.

131330033124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10944169434 (or 10944169432 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 131330033124 its reverse (421330033131), we get a palindrome (552660066255).

The spelling of 131330033124 in words is "one hundred thirty-one billion, three hundred thirty million, thirty-three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 10944169427 21888338854 32832508281 43776677708 65665016562 131330033124