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130413302341101 = 32131114643609753
BaseRepresentation
bin11101101001110000110110…
…100011110101110111101101
3122002202101112021021121020200
4131221300312203311313231
5114043142420344403401
61141211013301304113
736320023130510163
oct3551606643656755
9562671467247220
10130413302341101
113860aa7533835a
1212762b7b105039
13579cbc9b02780
14242c074d0d233
151012538c16686
hex769c368f5ded

130413302341101 has 12 divisors (see below), whose sum is σ = 202865136975228. Its totient is φ = 80254339902144.

The previous prime is 130413302341079. The next prime is 130413302341169. The reversal of 130413302341101 is 101143203314031.

130413302341101 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 1 + 3 + 302 + 341 + 10 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 45851925674025 + 84561376667076 = 6771405^2 + 9195726^2 .

It is not a de Polignac number, because 130413302341101 - 218 = 130413302078957 is a prime.

It is a super-2 number, since 2×1304133023411012 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130413302341181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 557321804760 + ... + 557321804993.

It is an arithmetic number, because the mean of its divisors is an integer number (16905428081269).

Almost surely, 2130413302341101 is an apocalyptic number.

It is an amenable number.

130413302341101 is a deficient number, since it is larger than the sum of its proper divisors (72451834634127).

130413302341101 is a wasteful number, since it uses less digits than its factorization.

130413302341101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114643609772 (or 1114643609769 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 130413302341101 its reverse (101143203314031), we get a palindrome (231556505655132).

The spelling of 130413302341101 in words is "one hundred thirty trillion, four hundred thirteen billion, three hundred two million, three hundred forty-one thousand, one hundred one".

Divisors: 1 3 9 13 39 117 1114643609753 3343930829259 10031792487777 14490366926789 43471100780367 130413302341101