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230122032103223 = 13175573011620869
BaseRepresentation
bin110100010100101101110101…
…111110100111111100110111
31010011210110012002020222010022
4310110231311332213330313
5220130304410204300343
62133232334020115355
766320524323536441
oct6424556576477467
91104713162228108
10230122032103223
1167362229942777
1221987236b35b5b
139b535508bcc20
1440b7d7416b491
151b91007423568
hexd14b75fa7f37

230122032103223 has 32 divisors (see below), whose sum is σ = 262960418831040. Its totient is φ = 199499491215360.

The previous prime is 230122032103207. The next prime is 230122032103231. The reversal of 230122032103223 is 322301230221032.

It is a cyclic number.

It is not a de Polignac number, because 230122032103223 - 24 = 230122032103207 is a prime.

It is a super-2 number, since 2×2301220321032232 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 230122032103192 and 230122032103201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230122032103273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 370334633 + ... + 370955501.

It is an arithmetic number, because the mean of its divisors is an integer number (8217513088470).

Almost surely, 2230122032103223 is an apocalyptic number.

230122032103223 is a deficient number, since it is larger than the sum of its proper divisors (32838386727817).

230122032103223 is a wasteful number, since it uses less digits than its factorization.

230122032103223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624467.

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 230122032103223 its reverse (322301230221032), we get a palindrome (552423262324255).

The spelling of 230122032103223 in words is "two hundred thirty trillion, one hundred twenty-two billion, thirty-two million, one hundred three thousand, two hundred twenty-three".

Divisors: 1 13 17 221 557 3011 7241 9469 39143 51187 123097 620869 665431 1677127 8071297 10554773 21802651 28511159 137212049 345824033 370645067 1869436559 4495712429 5879008561 24302675267 31780421503 76427111293 413145479539 1041276163363 13536590123719 17701694777171 230122032103223