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105242223221 = 1712756538623
BaseRepresentation
bin110001000000011101…
…1001110001001110101
3101001122111210212121022
41202000323032021311
53211014002120341
6120203030030525
710414000065062
oct1420073161165
9331574725538
10105242223221
11406a6544a93
12184914a8445
139c028ba085
145145375c69
152b0e58ae4b
hex1880ece275

105242223221 has 16 divisors (see below), whose sum is σ = 112343261184. Its totient is φ = 98242792704.

The previous prime is 105242223211. The next prime is 105242223257. The reversal of 105242223221 is 122322242501.

It is a cyclic number.

It is not a de Polignac number, because 105242223221 - 230 = 104168481397 is a prime.

It is a super-2 number, since 2×1052422232212 (a number of 23 digits) 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 (105242223211) 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, 12200516 + ... + 12209138.

It is an arithmetic number, because the mean of its divisors is an integer number (7021453824).

Almost surely, 2105242223221 is an apocalyptic number.

It is an amenable number.

105242223221 is a deficient number, since it is larger than the sum of its proper divisors (7101037963).

105242223221 is a wasteful number, since it uses less digits than its factorization.

105242223221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14420.

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 105242223221 its reverse (122322242501), we get a palindrome (227564465722).

The spelling of 105242223221 in words is "one hundred five billion, two hundred forty-two million, two hundred twenty-three thousand, two hundred twenty-one".

Divisors: 1 17 127 2159 5653 8623 96101 146591 717931 1095121 12204827 18617057 48745819 828678923 6190719013 105242223221