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230101641 = 3471179467
BaseRepresentation
bin11011011011100…
…01001010001001
3121000222101010000
431231301022021
5432401223031
634455513213
75462555160
oct1555611211
9530871100
10230101641
11108982850
1265088809
1338896623
14227ba3d7
15153033e6
hexdb71289

230101641 has 80 divisors (see below), whose sum is σ = 434903040. Its totient is φ = 117767520.

The previous prime is 230101603. The next prime is 230101649. The reversal of 230101641 is 146101032.

It is a happy number.

230101641 is a `hidden beast` number, since 23 + 0 + 1 + 0 + 1 + 641 = 666.

230101641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 230101641 - 27 = 230101513 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (230101649) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 492490 + ... + 492956.

It is an arithmetic number, because the mean of its divisors is an integer number (5436288).

Almost surely, 2230101641 is an apocalyptic number.

230101641 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

230101641 is a deficient number, since it is larger than the sum of its proper divisors (204801399).

230101641 is a wasteful number, since it uses less digits than its factorization.

230101641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 230101641 is about 15169.1015225029. The cubic root of 230101641 is about 612.7828073983.

Adding to 230101641 its reverse (146101032), we get a palindrome (376202673).

It can be divided in two parts, 230101 and 641, that multiplied together give a palindrome (147494741).

The spelling of 230101641 in words is "two hundred thirty million, one hundred one thousand, six hundred forty-one".

Divisors: 1 3 7 9 11 21 27 33 63 77 79 81 99 189 231 237 297 467 553 567 693 711 869 891 1401 1659 2079 2133 2607 3269 4203 4977 5137 6083 6237 6399 7821 9807 12609 14931 15411 18249 23463 29421 35959 36893 37827 44793 46233 54747 70389 88263 107877 110679 138699 164241 258251 264789 323631 332037 405823 416097 492723 774753 970893 996111 1217469 2324259 2840761 2912679 2988333 3652407 6972777 8522283 10957221 20918331 25566849 32871663 76700547 230101641