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130414713 = 31113303997
BaseRepresentation
bin1111100010111…
…11100001111001
3100002101202100120
413301133201321
5231341232323
620535123453
73142335552
oct761374171
9302352316
10130414713
1167685560
1237813589
1321032490
141346b329
15b6b15e3
hex7c5f879

130414713 has 16 divisors (see below), whose sum is σ = 204286656. Its totient is φ = 72959040.

The previous prime is 130414709. The next prime is 130414729. The reversal of 130414713 is 317414031.

It is not a de Polignac number, because 130414713 - 22 = 130414709 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (130414213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151570 + ... + 152427.

It is an arithmetic number, because the mean of its divisors is an integer number (12767916).

Almost surely, 2130414713 is an apocalyptic number.

130414713 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

130414713 is a deficient number, since it is larger than the sum of its proper divisors (73871943).

130414713 is a wasteful number, since it uses less digits than its factorization.

130414713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304024.

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 130414713 is about 11419.9261381149. The cubic root of 130414713 is about 507.1178100778.

Adding to 130414713 its reverse (317414031), we get a palindrome (447828744).

The spelling of 130414713 in words is "one hundred thirty million, four hundred fourteen thousand, seven hundred thirteen".

Divisors: 1 3 11 13 33 39 143 429 303997 911991 3343967 3951961 10031901 11855883 43471571 130414713