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2102320000 = 2754112389
BaseRepresentation
bin111110101001110…
…1101101110000000
312102111212220212201
41331103231232000
513301143220000
6544340002544
7103045265554
oct17523555600
95374786781
102102320000
11989783150
124a8090454
13276720b41
1415d2d1864
15c487496a
hex7d4edb80

2102320000 has 160 divisors (see below), whose sum is σ = 5711765400. Its totient is φ = 764160000.

The previous prime is 2102319979. The next prime is 2102320021. The reversal of 2102320000 is 232012.

It is an interprime number because it is at equal distance from previous prime (2102319979) and next prime (2102320021).

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 878806 + ... + 881194.

Almost surely, 22102320000 is an apocalyptic number.

2102320000 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 2102320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2855882700).

2102320000 is an abundant number, since it is smaller than the sum of its proper divisors (3609445400).

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

2102320000 is an equidigital number, since it uses as much as digits as its factorization.

2102320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2434 (or 2407 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 2102320000 is about 45851.0632373994. The cubic root of 2102320000 is about 1281.0505697926.

Adding to 2102320000 its reverse (232012), we get a palindrome (2102552012).

The spelling of 2102320000 in words is "two billion, one hundred two million, three hundred twenty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 128 160 176 200 220 250 275 320 352 400 440 500 550 625 640 704 800 880 1000 1100 1250 1375 1408 1600 1760 2000 2200 2389 2500 2750 3200 3520 4000 4400 4778 5000 5500 6875 7040 8000 8800 9556 10000 11000 11945 13750 16000 17600 19112 20000 22000 23890 26279 27500 35200 38224 40000 44000 47780 52558 55000 59725 76448 80000 88000 95560 105116 110000 119450 131395 152896 176000 191120 210232 220000 238900 262790 298625 305792 382240 420464 440000 477800 525580 597250 656975 764480 840928 880000 955600 1051160 1194500 1313950 1493125 1528960 1681856 1911200 2102320 2389000 2627900 2986250 3284875 3363712 3822400 4204640 4778000 5255800 5972500 6569750 7644800 8409280 9556000 10511600 11945000 13139500 16424375 16818560 19112000 21023200 23890000 26279000 32848750 38224000 42046400 47780000 52558000 65697500 84092800 95560000 105116000 131395000 191120000 210232000 262790000 420464000 525580000 1051160000 2102320000