Search a number
-
+
233241020012 = 227111361999397
BaseRepresentation
bin1101100100111000111…
…1111000011001101100
3211022000222010110111202
43121032033320121230
512310134200120022
6255052140305032
722564633646540
oct3311617703154
9738028113452
10233241020012
118aa0a525570
1239253b42178
1318cc0cb59a0
14b408b51a20
1561018a0592
hex364e3f866c

233241020012 has 96 divisors (see below), whose sum is σ = 548181580800. Its totient is φ = 83860427520.

The previous prime is 233241019969. The next prime is 233241020053. The reversal of 233241020012 is 210020142332.

233241020012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24816098 + ... + 24825494.

It is an arithmetic number, because the mean of its divisors is an integer number (5710224800).

Almost surely, 2233241020012 is an apocalyptic number.

233241020012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233241020012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274090790400).

233241020012 is an abundant number, since it is smaller than the sum of its proper divisors (314940560788).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

233241020012 is a wasteful number, since it uses less digits than its factorization.

233241020012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15631 (or 15629 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 233241020012 its reverse (210020142332), we get a palindrome (443261162344).

The spelling of 233241020012 in words is "two hundred thirty-three billion, two hundred forty-one million, twenty thousand, twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1001 2002 4004 6199 9397 12398 18794 24796 37588 43393 65779 68189 80587 86786 103367 122161 131558 136378 161174 173572 206734 244322 263116 272756 322348 413468 477323 488644 564109 723569 855127 886457 954646 1128218 1343771 1447138 1710254 1772914 1909292 2256436 2687542 2894276 3420508 3545828 5375084 6205199 9406397 12410398 18812794 24820796 37625588 58252003 116504006 233008012 407764021 640772033 757276039 815528042 1281544066 1514552078 1631056084 2563088132 3029104156 4485404231 5300932273 8330036429 8970808462 10601864546 16660072858 17941616924 21203729092 33320145716 58310255003 116620510006 233241020012