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2113321320 = 2333511177889
BaseRepresentation
bin111110111110110…
…1011100101101000
312110021120211212000
41331331223211220
513312002240240
6545411451000
7103240635435
oct17575534550
95407524760
102113321320
11994a07650
124ab8b6a60
13278aa33b6
14160956b8c
15c57e9430
hex7df6b968

2113321320 has 128 divisors (see below), whose sum is σ = 7684848000. Its totient is φ = 512317440.

The previous prime is 2113321307. The next prime is 2113321339. The reversal of 2113321320 is 231233112.

2113321320 is a `hidden beast` number, since 2 + 11 + 332 + 1 + 320 = 666.

It is a super-2 number, since 2×21133213202 = 8932254003133084800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2113321293 and 2113321302.

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, 77065 + ... + 100824.

It is an arithmetic number, because the mean of its divisors is an integer number (60037875).

Almost surely, 22113321320 is an apocalyptic number.

2113321320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2113321320 is an abundant number, since it is smaller than the sum of its proper divisors (5571526680).

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

2113321320 is a wasteful number, since it uses less digits than its factorization.

2113321320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177920 (or 177910 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2113321320 is about 45970.8746925703. The cubic root of 2113321320 is about 1283.2812380420.

Adding to 2113321320 its reverse (231233112), we get a palindrome (2344554432).

The spelling of 2113321320 in words is "two billion, one hundred thirteen million, three hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 88 90 99 108 110 120 132 135 165 180 198 216 220 264 270 297 330 360 396 440 495 540 594 660 792 990 1080 1188 1320 1485 1980 2376 2970 3960 5940 11880 177889 355778 533667 711556 889445 1067334 1423112 1601001 1778890 1956779 2134668 2668335 3202002 3557780 3913558 4269336 4803003 5336670 5870337 6404004 7115560 7827116 8005005 9606006 9783895 10673340 11740674 12808008 15654232 16010010 17611011 19212012 19567790 21346680 23481348 24015015 29351685 32020020 35222022 38424024 39135580 46962696 48030030 52833033 58703370 64040040 70444044 78271160 88055055 96060060 105666066 117406740 140888088 176110110 192120120 211332132 234813480 264165165 352220220 422664264 528330330 704440440 1056660660 2113321320