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105226313 = 1915136677
BaseRepresentation
bin1100100010110…
…10000001001001
321100000001100212
412101122001021
5203414220223
614235210505
72415260153
oct621320111
9240001325
10105226313
11544410a5
122b2a6a35
1318a535ba
14dd91ad3
159388278
hex645a049

105226313 has 8 divisors (see below), whose sum is σ = 111501120. Its totient is φ = 99025200.

The previous prime is 105226309. The next prime is 105226327. The reversal of 105226313 is 313622501.

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

It is a cyclic number.

It is not a de Polignac number, because 105226313 - 22 = 105226309 is a prime.

It is a super-2 number, since 2×1052263132 = 22145153895147938, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105226343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15470 + ... + 21207.

It is an arithmetic number, because the mean of its divisors is an integer number (13937640).

Almost surely, 2105226313 is an apocalyptic number.

It is an amenable number.

105226313 is a deficient number, since it is larger than the sum of its proper divisors (6274807).

105226313 is a wasteful number, since it uses less digits than its factorization.

105226313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36847.

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 105226313 is about 10257.9877656390. The cubic root of 105226313 is about 472.1080994029.

Adding to 105226313 its reverse (313622501), we get a palindrome (418848814).

The spelling of 105226313 in words is "one hundred five million, two hundred twenty-six thousand, three hundred thirteen".

Divisors: 1 19 151 2869 36677 696863 5538227 105226313