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131420302304 = 25191051205663
BaseRepresentation
bin111101001100101000…
…0101010101111100000
3110120012220111002002212
41322121100222233200
54123122044133204
6140212413101252
712331501065254
oct1723120525740
9416186432085
10131420302304
115080a375295
1221578487828
13c5152111b5
146509d84264
1536428b8c6e
hex1e9942abe0

131420302304 has 48 divisors (see below), whose sum is σ = 272611745280. Its totient is φ = 62192188800.

The previous prime is 131420302243. The next prime is 131420302319. The reversal of 131420302304 is 403203024131.

131420302304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 131420302304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 536177 + ... + 741839.

It is an arithmetic number, because the mean of its divisors is an integer number (5679411360).

Almost surely, 2131420302304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131420302304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136305872640).

131420302304 is an abundant number, since it is smaller than the sum of its proper divisors (141191442976).

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

131420302304 is a wasteful number, since it uses less digits than its factorization.

131420302304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206743 (or 206735 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 131420302304 its reverse (403203024131), we get a palindrome (534623326435).

The spelling of 131420302304 in words is "one hundred thirty-one billion, four hundred twenty million, three hundred two thousand, three hundred four".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 608 1051 2102 4204 8408 16816 19969 33632 39938 79876 159752 205663 319504 411326 639008 822652 1645304 3290608 3907597 6581216 7815194 15630388 31260776 62521552 125043104 216151813 432303626 864607252 1729214504 3458429008 4106884447 6916858016 8213768894 16427537788 32855075576 65710151152 131420302304