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130417331 = 1114518171
BaseRepresentation
bin1111100011000…
…00001010110011
3100002101212221112
413301200022303
5231341323311
620535143535
73142346312
oct761401263
9302355845
10130417331
1167687520
1237814bab
1321033725
141346c279
15b6b228b
hex7c602b3

130417331 has 8 divisors (see below), whose sum is σ = 142388928. Its totient is φ = 118465000.

The previous prime is 130417303. The next prime is 130417363. The reversal of 130417331 is 133714031.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-130417331 is a prime.

It is a super-2 number, since 2×1304173312 = 34017360450327122, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130417297 and 130417306.

It is not an unprimeable number, because it can be changed into a prime (130417531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11876 + ... + 20046.

It is an arithmetic number, because the mean of its divisors is an integer number (17798616).

Almost surely, 2130417331 is an apocalyptic number.

130417331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

130417331 is a deficient number, since it is larger than the sum of its proper divisors (11971597).

130417331 is a wasteful number, since it uses less digits than its factorization.

130417331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9633.

The product of its (nonzero) digits is 756, while the sum is 23.

The square root of 130417331 is about 11420.0407617486. The cubic root of 130417331 is about 507.1212034208.

The spelling of 130417331 in words is "one hundred thirty million, four hundred seventeen thousand, three hundred thirty-one".

Divisors: 1 11 1451 8171 15961 89881 11856121 130417331