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105313506223 = 19374124115161
BaseRepresentation
bin110001000010100101…
…1001001001110101111
3101001211110221102111111
41202011023021032233
53211140224144343
6120214053532451
710415524014202
oct1420513111657
9331743842444
10105313506223
1140732801a62
12184b1344127
139c145b7873
145150a0d939
152b1596bc9d
hex18852c93af

105313506223 has 32 divisors (see below), whose sum is σ = 117120991680. Its totient is φ = 94307328000.

The previous prime is 105313506217. The next prime is 105313506257. The reversal of 105313506223 is 322605313501.

It is a cyclic number.

It is not a de Polignac number, because 105313506223 - 217 = 105313375151 is a prime.

It is a super-2 number, since 2×1053135062232 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105313506523) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6938763 + ... + 6953923.

It is an arithmetic number, because the mean of its divisors is an integer number (3660030990).

Almost surely, 2105313506223 is an apocalyptic number.

105313506223 is a deficient number, since it is larger than the sum of its proper divisors (11807485457).

105313506223 is a wasteful number, since it uses less digits than its factorization.

105313506223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15499.

The product of its (nonzero) digits is 16200, while the sum is 31.

Adding to 105313506223 its reverse (322605313501), we get a palindrome (427918819724).

The spelling of 105313506223 in words is "one hundred five billion, three hundred thirteen million, five hundred six thousand, two hundred twenty-three".

Divisors: 1 19 37 41 241 703 779 1517 4579 8917 9881 15161 28823 169423 187739 288059 365597 560957 621601 3653801 6946343 10658183 11810419 22999237 69422219 135190637 149805841 436985503 2568622103 2846310979 5542816117 105313506223