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130434431202797 = 292896353274301
BaseRepresentation
bin11101101010000100100001…
…111100000011010111101101
3122002211102001202221222121212
4131222010201330003113231
5114044014203341442142
61141224430034204205
736321401541045101
oct3552044174032755
9562742052858555
10130434431202797
1138618a27aa4927
1212767097123665
1357a1bb6324bb7
14242d0bb0c7901
151012d73b19d82
hex76a121f035ed

130434431202797 has 24 divisors (see below), whose sum is σ = 136627099638120. Its totient is φ = 124501618841600.

The previous prime is 130434431202787. The next prime is 130434431202847. The reversal of 130434431202797 is 797202134434031.

It can be written as a sum of positive squares in 12 ways, for example, as 63149389262281 + 67285041940516 = 7946659^2 + 8202746^2 .

It is not a de Polignac number, because 130434431202797 - 226 = 130434364093933 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130434431202767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 475378547 + ... + 475652847.

It is an arithmetic number, because the mean of its divisors is an integer number (5692795818255).

Almost surely, 2130434431202797 is an apocalyptic number.

It is an amenable number.

130434431202797 is a deficient number, since it is larger than the sum of its proper divisors (6192668435323).

130434431202797 is an equidigital number, since it uses as much as digits as its factorization.

130434431202797 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280801 (or 280772 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 50.

The spelling of 130434431202797 in words is "one hundred thirty trillion, four hundred thirty-four billion, four hundred thirty-one million, two hundred two thousand, seven hundred ninety-seven".

Divisors: 1 29 89 841 2581 6353 74849 184237 274301 565417 5342873 7954729 16397093 24412789 230687141 475515697 707970881 1742634253 20531155549 50536393337 155094448517 1465555406773 4497739006993 130434431202797