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163130513 = 71323411901
BaseRepresentation
bin10011011100100…
…10110010010001
3102100221212222212
421232102302101
5313230134023
624104241505
74020405110
oct1156226221
9370855885
10163130513
11840a0407
1246770295
1327a48640
1417945c77
15e4c4e78
hex9b92c91

163130513 has 32 divisors (see below), whose sum is σ = 214728192. Its totient is φ = 120384000.

The previous prime is 163130509. The next prime is 163130533. The reversal of 163130513 is 315031361.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 163130513 - 22 = 163130509 is a prime.

It is a super-2 number, since 2×1631305132 = 53223128543286338, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (163130533) 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 31 ways as a sum of consecutive naturals, for example, 84863 + ... + 86763.

It is an arithmetic number, because the mean of its divisors is an integer number (6710256).

Almost surely, 2163130513 is an apocalyptic number.

163130513 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

163130513 is a deficient number, since it is larger than the sum of its proper divisors (51597679).

163130513 is a wasteful number, since it uses less digits than its factorization.

163130513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1985.

The product of its (nonzero) digits is 810, while the sum is 23.

The square root of 163130513 is about 12772.2555956260. The cubic root of 163130513 is about 546.4013126126.

Adding to 163130513 its reverse (315031361), we get a palindrome (478161874).

The spelling of 163130513 in words is "one hundred sixty-three million, one hundred thirty thousand, five hundred thirteen".

Divisors: 1 7 13 23 41 91 161 287 299 533 943 1901 2093 3731 6601 12259 13307 24713 43723 77941 85813 172991 306061 545587 568399 1013233 1792643 3978793 7092631 12548501 23304359 163130513