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2321320000 = 2654131443
BaseRepresentation
bin1000101001011100…
…1000100001000000
312222202222021101211
42022113020201000
514223224220000
61022201535504
7111344615536
oct21227104100
95882867354
102321320000
11a9136308a
125494a4594
132acbcb33c
1418041c156
15d8bd37ba
hex8a5c8840

2321320000 has 140 divisors (see below), whose sum is σ = 5813151696. Its totient is φ = 919360000.

The previous prime is 2321319997. The next prime is 2321320007. The reversal of 2321320000 is 231232.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2321320007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5239779 + ... + 5240221.

Almost surely, 22321320000 is an apocalyptic number.

2321320000 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 2321320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2906575848).

2321320000 is an abundant number, since it is smaller than the sum of its proper divisors (3491831696).

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

2321320000 is an equidigital number, since it uses as much as digits as its factorization.

2321320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 2321320000 is about 48180.0788708362. The cubic root of 2321320000 is about 1324.0722115396.

Adding to 2321320000 its reverse (231232), we get a palindrome (2321551232).

The spelling of 2321320000 in words is "two billion, three hundred twenty-one million, three hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 131 160 200 250 262 320 400 443 500 524 625 655 800 886 1000 1048 1250 1310 1600 1772 2000 2096 2215 2500 2620 3275 3544 4000 4192 4430 5000 5240 6550 7088 8000 8384 8860 10000 10480 11075 13100 14176 16375 17720 20000 20960 22150 26200 28352 32750 35440 40000 41920 44300 52400 55375 58033 65500 70880 81875 88600 104800 110750 116066 131000 141760 163750 177200 209600 221500 232132 262000 276875 290165 327500 354400 443000 464264 524000 553750 580330 655000 708800 886000 928528 1048000 1107500 1160660 1310000 1450825 1772000 1857056 2215000 2321320 2620000 2901650 3544000 3714112 4430000 4642640 5240000 5803300 7254125 8860000 9285280 11606600 14508250 17720000 18570560 23213200 29016500 36270625 46426400 58033000 72541250 92852800 116066000 145082500 232132000 290165000 464264000 580330000 1160660000 2321320000