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130420413 = 32177311677
BaseRepresentation
bin1111100011000…
…00111010111101
3100002102001011200
413301200322331
5231341423123
620535210113
73142361304
oct761407275
9302361150
10130420413
1167689872
1237816939
1321034c56
141346d43b
15b6b3143
hex7c60ebd

130420413 has 24 divisors (see below), whose sum is σ = 202216248. Its totient is φ = 80704512.

The previous prime is 130420403. The next prime is 130420429. The reversal of 130420413 is 314024031.

It can be written as a sum of positive squares in 4 ways, for example, as 63393444 + 67026969 = 7962^2 + 8187^2 .

It is not a de Polignac number, because 130420413 - 210 = 130419389 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130420403) 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, 5331 + ... + 17007.

It is an arithmetic number, because the mean of its divisors is an integer number (8425677).

Almost surely, 2130420413 is an apocalyptic number.

It is an amenable number.

130420413 is a deficient number, since it is larger than the sum of its proper divisors (71795835).

130420413 is a wasteful number, since it uses less digits than its factorization.

130420413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11773 (or 11770 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 130420413 is about 11420.1756991738. The cubic root of 130420413 is about 507.1251981231.

Adding to 130420413 its reverse (314024031), we get a palindrome (444444444).

The spelling of 130420413 in words is "one hundred thirty million, four hundred twenty thousand, four hundred thirteen".

Divisors: 1 3 9 17 51 73 153 219 657 1241 3723 11169 11677 35031 105093 198509 595527 852421 1786581 2557263 7671789 14491157 43473471 130420413