Search a number
-
+
230103441441 = 3329476793323
BaseRepresentation
bin1101011001001100111…
…0111110000000100001
3210222221022012221212000
43112103032332000201
512232222440111231
6253412535154213
722424114660256
oct3262316760041
9728838187760
10230103441441
118964a437325
1238719215969
1318910c61313
14b1cc17542d
155ebb1d26e6
hex35933be021

230103441441 has 64 divisors (see below), whose sum is σ = 365531443200. Its totient is φ = 142796098368.

The previous prime is 230103441439. The next prime is 230103441443. The reversal of 230103441441 is 144144301032.

230103441441 is a `hidden beast` number, since 2 + 301 + 0 + 344 + 14 + 4 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (230103441439) and next prime (230103441443).

It is not a de Polignac number, because 230103441441 - 21 = 230103441439 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (230103441443) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2419006 + ... + 2512328.

It is an arithmetic number, because the mean of its divisors is an integer number (5711428800).

Almost surely, 2230103441441 is an apocalyptic number.

It is an amenable number.

230103441441 is a deficient number, since it is larger than the sum of its proper divisors (135428001759).

230103441441 is a wasteful number, since it uses less digits than its factorization.

230103441441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93475 (or 93469 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 230103441441 its reverse (144144301032), we get a palindrome (374247742473).

The spelling of 230103441441 in words is "two hundred thirty billion, one hundred three million, four hundred forty-one thousand, four hundred forty-one".

Divisors: 1 3 9 27 29 47 67 87 141 201 261 423 603 783 1269 1363 1809 1943 3149 4089 5829 9447 12267 17487 28341 36801 52461 85023 91321 93323 273963 279969 821889 839907 2465667 2519721 2706367 4386181 6252641 8119101 13158543 18757923 24357303 39475629 56273769 73071909 118426887 127199249 168821307 181326589 293874127 381597747 543979767 881622381 1144793241 1631939301 2644867143 3434379723 4895817903 7934601429 8522349683 25567049049 76701147147 230103441441