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413430430131 = 3315312238153
BaseRepresentation
bin1100000010000100101…
…11111011100110110011
31110112010200021220121000
412001002113323212303
523233201142231011
6513532144533043
741604122446665
oct6010227734663
91415120256530
10413430430131
1114a375777334
1268161021183
132cca8c47314
141601db74535
15ab4aa20356
hex60425fb9b3

413430430131 has 8 divisors (see below), whose sum is σ = 612489526160. Its totient is φ = 275620286736.

The previous prime is 413430430087. The next prime is 413430430177. The reversal of 413430430131 is 131034034314.

413430430131 is a `hidden beast` number, since 41 + 34 + 30 + 430 + 131 = 666.

413430430131 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 413430430131 - 26 = 413430430067 is a prime.

It is a super-2 number, since 2×4134304301312 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 15312238153 = 413430430131 / (4 + 1 + 3 + 4 + 3 + 0 + 4 + 3 + 0 + 1 + 3 + 1).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 413430430095 and 413430430104.

It is not an unprimeable number, because it can be changed into a prime (413430430031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7656119050 + ... + 7656119103.

It is an arithmetic number, because the mean of its divisors is an integer number (76561190770).

Almost surely, 2413430430131 is an apocalyptic number.

413430430131 is a deficient number, since it is larger than the sum of its proper divisors (199059096029).

413430430131 is a wasteful number, since it uses less digits than its factorization.

413430430131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15312238162 (or 15312238156 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 413430430131 its reverse (131034034314), we get a palindrome (544464464445).

The spelling of 413430430131 in words is "four hundred thirteen billion, four hundred thirty million, four hundred thirty thousand, one hundred thirty-one".

Divisors: 1 3 9 27 15312238153 45936714459 137810143377 413430430131