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105523014233 = 7132634409101
BaseRepresentation
bin110001001000110101…
…0010110101001011001
3101002101002011112110102
41202101222112221121
53212102342423413
6120250540225145
710423646551550
oct1422152265131
9332332145412
10105523014233
114082aa9947a
121854b53b1b5
139c48b207c0
145170788d97
152b29053458
hex1891a96a59

105523014233 has 16 divisors (see below), whose sum is σ = 130368327936. Its totient is φ = 83173262400.

The previous prime is 105523014229. The next prime is 105523014263. The reversal of 105523014233 is 332410325501.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 105523014233 - 22 = 105523014229 is a prime.

It is a super-2 number, since 2×1055230142332 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105523014196 and 105523014205.

It is not an unprimeable number, because it can be changed into a prime (105523014263) 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 15 ways as a sum of consecutive naturals, for example, 2180618 + ... + 2228483.

It is an arithmetic number, because the mean of its divisors is an integer number (8148020496).

Almost surely, 2105523014233 is an apocalyptic number.

105523014233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105523014233 is a deficient number, since it is larger than the sum of its proper divisors (24845313703).

105523014233 is a wasteful number, since it uses less digits than its factorization.

105523014233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4409384.

The product of its (nonzero) digits is 10800, while the sum is 29.

Adding to 105523014233 its reverse (332410325501), we get a palindrome (437933339734).

The spelling of 105523014233 in words is "one hundred five billion, five hundred twenty-three million, fourteen thousand, two hundred thirty-three".

Divisors: 1 7 13 91 263 1841 3419 23933 4409101 30863707 57318313 401228191 1159593563 8117154941 15074716319 105523014233