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230001203313 = 327149229710667
BaseRepresentation
bin1101011000110100100…
…0111101100001110001
3210222200011211201111200
43112031020331201301
512232020302001223
6253354444001413
722421433654030
oct3261510754161
9728604751450
10230001203313
11895a7757302
12386aab30269
13188c5a15b9b
14b1bc760717
155eb2239a43
hex358d23d871

230001203313 has 48 divisors (see below), whose sum is σ = 382434998400. Its totient is φ = 130478116608.

The previous prime is 230001203251. The next prime is 230001203351. The reversal of 230001203313 is 313302100032.

230001203313 is a `hidden beast` number, since 230 + 0 + 0 + 120 + 3 + 313 = 666.

230001203313 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 230001203313 - 224 = 229984426097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (230001203353) 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 47 ways as a sum of consecutive naturals, for example, 21556606 + ... + 21567272.

It is an arithmetic number, because the mean of its divisors is an integer number (7967395800).

Almost surely, 2230001203313 is an apocalyptic number.

It is an amenable number.

230001203313 is a deficient number, since it is larger than the sum of its proper divisors (152433795087).

230001203313 is a wasteful number, since it uses less digits than its factorization.

230001203313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13126 (or 13123 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 230001203313 its reverse (313302100032), we get a palindrome (543303303345).

The spelling of 230001203313 in words is "two hundred thirty billion, one million, two hundred three thousand, three hundred thirteen".

Divisors: 1 3 7 9 21 63 149 447 1043 1341 2297 3129 6891 9387 10667 16079 20673 32001 48237 74669 96003 144711 224007 342253 672021 1026759 1589383 2395771 3080277 4768149 7187313 11125681 14304447 21561939 24502099 33377043 73506297 100131129 171514693 220518891 514544079 1543632237 3650812751 10952438253 25555689257 32857314759 76667067771 230001203313