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2013231324 = 22313173792003
BaseRepresentation
bin111011111111111…
…0111100011011100
312012022020202012010
41313333313203130
513110341400244
6531434311220
7100614120036
oct16777674334
95168222163
102013231324
11943464545
12482288510
1326112a950
14151540c56
15bbb27eb9
hex77ff78dc

2013231324 has 96 divisors (see below), whose sum is σ = 5373285120. Its totient is φ = 581188608.

The previous prime is 2013231313. The next prime is 2013231361. The reversal of 2013231324 is 4231323102.

It is a self number, because there is not a number n which added to its sum of digits gives 2013231324.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1004107 + ... + 1006109.

It is an arithmetic number, because the mean of its divisors is an integer number (55971720).

Almost surely, 22013231324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013231324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2686642560).

2013231324 is an abundant number, since it is smaller than the sum of its proper divisors (3360053796).

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

2013231324 is a wasteful number, since it uses less digits than its factorization.

2013231324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2419 (or 2417 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 2013231324 is about 44869.0463905798. The cubic root of 2013231324 is about 1262.6933492588.

Adding to 2013231324 its reverse (4231323102), we get a palindrome (6244554426).

The spelling of 2013231324 in words is "two billion, thirteen million, two hundred thirty-one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 204 221 379 442 663 758 884 1137 1326 1516 2003 2274 2652 4006 4548 4927 6009 6443 8012 9854 12018 12886 14781 19329 19708 24036 25772 26039 29562 34051 38658 52078 59124 68102 77316 78117 83759 102153 104156 136204 156234 167518 204306 251277 312468 335036 408612 442663 502554 759137 885326 1005108 1327989 1518274 1770652 2277411 2655978 3036548 4554822 5311956 9109644 9868781 12905329 19737562 25810658 29606343 38715987 39475124 51621316 59212686 77431974 118425372 154863948 167769277 335538554 503307831 671077108 1006615662 2013231324