Search a number
-
+
230010013311 = 313172431932459
BaseRepresentation
bin1101011000110110101…
…0100100011001111111
3210222200210102022112220
43112031222210121333
512232030030411221
6253355400500423
722421601566121
oct3261552443177
9728623368486
10230010013311
11896017243a1
12386b1a7a713
13188c77abbc0
14b1bd9b5211
155eb2dca0c6
hex358daa467f

230010013311 has 96 divisors (see below), whose sum is σ = 361007243520. Its totient is φ = 129393524736.

The previous prime is 230010013279. The next prime is 230010013367. The reversal of 230010013311 is 113310010032.

It is not a de Polignac number, because 230010013311 - 25 = 230010013279 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230010013391) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 93536800 + ... + 93539258.

It is an arithmetic number, because the mean of its divisors is an integer number (3760492120).

Almost surely, 2230010013311 is an apocalyptic number.

230010013311 is a deficient number, since it is larger than the sum of its proper divisors (130997230209).

230010013311 is a wasteful number, since it uses less digits than its factorization.

230010013311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2745 (or 2728 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 230010013311 its reverse (113310010032), we get a palindrome (343320023343).

The spelling of 230010013311 in words is "two hundred thirty billion, ten million, thirteen thousand, three hundred eleven".

Divisors: 1 3 13 17 39 43 51 129 193 221 289 559 579 663 731 867 1677 2193 2459 2509 3281 3757 7377 7527 8299 9503 9843 11271 12427 24897 28509 31967 37281 41803 42653 55777 95901 105737 107887 125409 127959 141083 161551 167331 317211 323661 423249 474587 484653 543439 710651 725101 1374581 1423761 1630317 1797529 1834079 2131953 2175303 2398411 4123743 5392587 5502237 6169631 7195233 8067979 9238463 18508893 20407241 23367877 24203937 27715389 30557993 31179343 61221723 70103631 91673979 93538029 104883727 137155643 265294133 314651181 346923097 397253909 411466929 795882399 1040769291 1191761727 1783023359 4510000261 5349070077 5897692649 13530000783 17693077947 76670004437 230010013311