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230020110441 = 321123477329443
BaseRepresentation
bin1101011000111001000…
…1000101100001101001
3210222201111102022012200
43112032101011201221
512232040122013231
6253400401130413
722422053451612
oct3261621054151
9728644368180
10230020110441
11896073a0530
12386b5329a09
13188c9905a34
14b1c1082c09
155eb3c21be6
hex358e445869

230020110441 has 96 divisors (see below), whose sum is σ = 391566569472. Its totient is φ = 128715713280.

The previous prime is 230020110421. The next prime is 230020110443. The reversal of 230020110441 is 144011020032.

230020110441 is a `hidden beast` number, since 23 + 0 + 0 + 201 + 1 + 0 + 441 = 666.

It is not a de Polignac number, because 230020110441 - 25 = 230020110409 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (230020110443) 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 95 ways as a sum of consecutive naturals, for example, 7797666 + ... + 7827108.

It is an arithmetic number, because the mean of its divisors is an integer number (4078818432).

Almost surely, 2230020110441 is an apocalyptic number.

It is an amenable number.

230020110441 is a deficient number, since it is larger than the sum of its proper divisors (161546459031).

230020110441 is a wasteful number, since it uses less digits than its factorization.

230020110441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29603 (or 29600 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 230020110441 its reverse (144011020032), we get a palindrome (374031130473).

The spelling of 230020110441 in words is "two hundred thirty billion, twenty million, one hundred ten thousand, four hundred forty-one".

Divisors: 1 3 9 11 23 33 47 69 73 99 141 207 219 253 423 517 657 759 803 1081 1551 1679 2277 2409 3243 3431 4653 5037 7227 9729 10293 11891 15111 18469 29443 30879 35673 37741 55407 78913 88329 107019 113223 166221 236739 264987 323873 339669 677189 710217 868043 971619 1383821 2031567 2149339 2604129 2914857 4151463 6094701 6448017 7449079 7812387 12454389 15222031 19344051 22347237 23642729 31827883 45666093 49434797 67041711 70928187 95483649 101018933 136998279 148304391 212784561 286450947 303056799 350106713 444913173 543782767 909170397 1050320139 1111208263 1631348301 2323435459 3150960417 3333624789 4894044903 6970306377 10000874367 20910919131 25557790049 76673370147 230020110441