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105313213 = 671571839
BaseRepresentation
bin1100100011011…
…11001110111101
321100011110120101
412101233032331
5203430010323
614241121101
72416101415
oct621571675
9240143511
10105313213
11544a0415
122b329191
1318a84015
14ddb5645
1593a3dad
hex646f3bd

105313213 has 4 divisors (see below), whose sum is σ = 106885120. Its totient is φ = 103741308.

The previous prime is 105313183. The next prime is 105313217. The reversal of 105313213 is 312313501.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105313213 is a prime.

It is a super-2 number, since 2×1053132132 = 22181745664766738, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105313217) 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 3 ways as a sum of consecutive naturals, for example, 785853 + ... + 785986.

It is an arithmetic number, because the mean of its divisors is an integer number (26721280).

Almost surely, 2105313213 is an apocalyptic number.

It is an amenable number.

105313213 is a deficient number, since it is larger than the sum of its proper divisors (1571907).

105313213 is an equidigital number, since it uses as much as digits as its factorization.

105313213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1571906.

The product of its (nonzero) digits is 270, while the sum is 19.

The square root of 105313213 is about 10262.2226150089. Note that the first 3 decimals coincide. The cubic root of 105313213 is about 472.2380254140.

Adding to 105313213 its reverse (312313501), we get a palindrome (417626714).

The spelling of 105313213 in words is "one hundred five million, three hundred thirteen thousand, two hundred thirteen".

Divisors: 1 67 1571839 105313213