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230000100221 = 8911332177109
BaseRepresentation
bin1101011000110100010…
…0110000001101111101
3210222200002202200100102
43112031010300031331
512232020011201341
6253354404210445
722421421411023
oct3261504601575
9728602680312
10230000100221
11895a7073561
12386aa699a25
13188c571aa78
14b1bc554713
155eb20bcc9b
hex358d13037d

230000100221 has 16 divisors (see below), whose sum is σ = 234748594800. Its totient is φ = 225301536768.

The previous prime is 230000100179. The next prime is 230000100287. The reversal of 230000100221 is 122001000032.

It is a happy number.

230000100221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 44833404121 + 185166696100 = 211739^2 + 430310^2 .

It is a cyclic number.

It is not a de Polignac number, because 230000100221 - 26 = 230000100157 is a prime.

It is a super-2 number, since 2×2300001002212 (a number of 24 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 (230000130221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32349815 + ... + 32356923.

It is an arithmetic number, because the mean of its divisors is an integer number (14671787175).

Almost surely, 2230000100221 is an apocalyptic number.

It is an amenable number.

230000100221 is a deficient number, since it is larger than the sum of its proper divisors (4748494579).

230000100221 is a wasteful number, since it uses less digits than its factorization.

230000100221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10528.

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 230000100221 its reverse (122001000032), we get a palindrome (352001100253).

The spelling of 230000100221 in words is "two hundred thirty billion, one hundred thousand, two hundred twenty-one".

Divisors: 1 89 113 3217 7109 10057 286313 363521 632701 803317 22869653 32353369 71495213 2035399117 2584270789 230000100221