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230041101033 = 3427337103889
BaseRepresentation
bin1101011000111110000…
…1001010001011101001
3210222202221220201220000
43112033201022023221
512232111010213113
6253402431053213
722422430044642
oct3261741121351
9728687821800
10230041101033
1189618228027
1238700371209
1318901074cc3
14b1c3b886c9
155eb59bb373
hex358f84a2e9

230041101033 has 20 divisors (see below), whose sum is σ = 343657523220. Its totient is φ = 153353647872.

The previous prime is 230041100999. The next prime is 230041101061. The reversal of 230041101033 is 330101140032.

230041101033 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 2 ways, for example, as 190665842409 + 39375258624 = 436653^2 + 198432^2 .

It is not a de Polignac number, because 230041101033 - 26 = 230041100969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 230041100997 and 230041101015.

It is not an unprimeable number, because it can be changed into a prime (230041101833) 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 19 ways as a sum of consecutive naturals, for example, 2162353 + ... + 2266241.

It is an arithmetic number, because the mean of its divisors is an integer number (17182876161).

Almost surely, 2230041101033 is an apocalyptic number.

It is an amenable number.

230041101033 is a deficient number, since it is larger than the sum of its proper divisors (113616422187).

230041101033 is a wasteful number, since it uses less digits than its factorization.

230041101033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131238 (or 131229 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 230041101033 its reverse (330101140032), we get a palindrome (560142241065).

The spelling of 230041101033 in words is "two hundred thirty billion, forty-one million, one hundred one thousand, thirty-three".

Divisors: 1 3 9 27 81 27337 82011 103889 246033 311667 738099 935001 2214297 2805003 8415009 2840013593 8520040779 25560122337 76680367011 230041101033