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230011012231 = 711131719711397
BaseRepresentation
bin1101011000110110111…
…0011000010010000111
3210222200212022001210221
43112031232120102013
512232030304342411
6253355434125211
722421613226330
oct3261556302207
9728625261727
10230011012231
1189602246950
12386b2280807
13188c7a6b790
14b1bdb95287
155eb3026071
hex358db98487

230011012231 has 64 divisors (see below), whose sum is σ = 344202808320. Its totient is φ = 147515074560.

The previous prime is 230011012183. The next prime is 230011012267. The reversal of 230011012231 is 132210110032.

230011012231 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 230011012231 - 27 = 230011012103 is a prime.

It is a super-2 number, since 2×2300110122312 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230011012271) 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 63 ways as a sum of consecutive naturals, for example, 32376 + ... + 679021.

It is an arithmetic number, because the mean of its divisors is an integer number (5378168880).

Almost surely, 2230011012231 is an apocalyptic number.

230011012231 is a deficient number, since it is larger than the sum of its proper divisors (114191796089).

230011012231 is a wasteful number, since it uses less digits than its factorization.

230011012231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711464.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 230011012231 its reverse (132210110032), we get a palindrome (362221122263).

The spelling of 230011012231 in words is "two hundred thirty billion, eleven million, twelve thousand, two hundred thirty-one".

Divisors: 1 7 11 13 17 19 77 91 119 133 143 187 209 221 247 323 1001 1309 1463 1547 1729 2261 2431 2717 3553 4199 17017 19019 24871 29393 46189 323323 711397 4979779 7825367 9248161 12093749 13516543 54777569 64737127 84656243 94615801 101729771 133031239 148681973 157218737 175715059 229781231 712108397 931218673 1040773811 1100531159 1230005413 1608468617 1729406107 1932865649 2527593541 2987156003 12105842749 13530059543 17693154787 20910092021 32858716033 230011012231