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4130110314 = 2321120859143
BaseRepresentation
bin1111011000101100…
…0111101101101010
3101122211112100020200
43312023013231222
531424302012224
61521454333030
7204230233641
oct36613075552
911584470220
104130110314
11182a381010
129731ba176
1350a878475
142b2742358
151928c65c9
hexf62c7b6a

4130110314 has 24 divisors (see below), whose sum is σ = 9762079392. Its totient is φ = 1251548520.

The previous prime is 4130110307. The next prime is 4130110333.

4130110314 is a `hidden beast` number, since 41 + 301 + 10 + 314 = 666.

4130110314 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×41301103142 = 34115622411618357192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10429374 + ... + 10429769.

It is an arithmetic number, because the mean of its divisors is an integer number (406753308).

Almost surely, 24130110314 is an apocalyptic number.

4130110314 is an abundant number, since it is smaller than the sum of its proper divisors (5631969078).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4130110314 is a wasteful number, since it uses less digits than its factorization.

4130110314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20859162 (or 20859159 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 4130110314 is about 64265.9343198245. The cubic root of 4130110314 is about 1604.4291748281.

It can be divided in two parts, 41301 and 10314, that added together give a palindrome (51615).

The spelling of 4130110314 in words is "four billion, one hundred thirty million, one hundred ten thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 20859143 41718286 62577429 125154858 187732287 229450573 375464574 458901146 688351719 1376703438 2065055157 4130110314