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230100224413241 = 72131093313989377
BaseRepresentation
bin110100010100011001100010…
…001000111000111000111001
31010011201100220021020112101202
4310110121202020320320321
5220124430224422210431
62133214330033423545
766316123031326400
oct6424314210707071
91104640807215352
10230100224413241
1167353a58a87496
1221982b6b70abb5
139b51486861c60
1440b6ca5b6a637
151b9067cb308cb
hexd14662238e39

230100224413241 has 24 divisors (see below), whose sum is σ = 290901987600840. Its totient is φ = 180387069714432.

The previous prime is 230100224413219. The next prime is 230100224413303. The reversal of 230100224413241 is 142314422001032.

It can be written as a sum of positive squares in 4 ways, for example, as 14744716813225 + 215355507600016 = 3839885^2 + 14674996^2 .

It is not a de Polignac number, because 230100224413241 - 26 = 230100224413177 is a prime.

It is a super-3 number, since 3×2301002244132413 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (230100224410241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1656925256 + ... + 1657064121.

It is an arithmetic number, because the mean of its divisors is an integer number (12120916150035).

Almost surely, 2230100224413241 is an apocalyptic number.

It is an amenable number.

230100224413241 is a deficient number, since it is larger than the sum of its proper divisors (60801763187599).

230100224413241 is a wasteful number, since it uses less digits than its factorization.

230100224413241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3313989513 (or 3313989506 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 230100224413241 its reverse (142314422001032), we get a palindrome (372414646414273).

The spelling of 230100224413241 in words is "two hundred thirty trillion, one hundred billion, two hundred twenty-four million, four hundred thirteen thousand, two hundred forty-one".

Divisors: 1 7 13 49 91 109 637 763 1417 5341 9919 69433 3313989377 23197925639 43081861901 162385479473 301573033307 361224842093 2111011233149 2528573894651 4695922947209 17700017262557 32871460630463 230100224413241