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2013321320 = 235197933533
BaseRepresentation
bin111100000000000…
…1101100001101000
312012022102022122022
41320000031201220
513110402240240
6531440244012
7100614643313
oct17000154150
95168368568
102013321320
1194351611a
12482310608
1326115c8ba
1415156597a
15bbb449b5
hex7800d868

2013321320 has 64 divisors (see below), whose sum is σ = 4828896000. Its totient is φ = 753262848.

The previous prime is 2013321313. The next prime is 2013321337. The reversal of 2013321320 is 231233102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43274 + ... + 76806.

It is an arithmetic number, because the mean of its divisors is an integer number (75451500).

Almost surely, 22013321320 is an apocalyptic number.

2013321320 is a gapful number since it is divisible by the number (20) 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 2013321320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2414448000).

2013321320 is an abundant number, since it is smaller than the sum of its proper divisors (2815574680).

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

2013321320 is a wasteful number, since it uses less digits than its factorization.

2013321320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33642 (or 33638 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 2013321320 is about 44870.0492533717. The cubic root of 2013321320 is about 1262.7121640627.

Adding to 2013321320 its reverse (231233102), we get a palindrome (2244554422).

The spelling of 2013321320 in words is "two billion, thirteen million, three hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 79 95 152 158 190 316 380 395 632 760 790 1501 1580 3002 3160 6004 7505 12008 15010 30020 33533 60040 67066 134132 167665 268264 335330 637127 670660 1274254 1341320 2548508 2649107 3185635 5097016 5298214 6371270 10596428 12742540 13245535 21192856 25485080 26491070 50333033 52982140 100666066 105964280 201332132 251665165 402664264 503330330 1006660660 2013321320