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2120303304 = 23357222259
BaseRepresentation
bin111111001100001…
…0100001011001000
312110202201120100000
41332120110023020
513320244201204
6550221243000
7103354165200
oct17630241310
95422646300
102120303304
11998946289
124b2103460
1327a379352
14161853400
15c6228039
hex7e6142c8

2120303304 has 144 divisors (see below), whose sum is σ = 6927757200. Its totient is φ = 605773728.

The previous prime is 2120303293. The next prime is 2120303329. The reversal of 2120303304 is 4033030212.

It is a super-2 number, since 2×21203033042 = 8991372201906632832, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 84127 + ... + 106385.

It is an arithmetic number, because the mean of its divisors is an integer number (48109425).

Almost surely, 22120303304 is an apocalyptic number.

2120303304 is a gapful number since it is divisible by the number (24) 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 2120303304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3463878600).

2120303304 is an abundant number, since it is smaller than the sum of its proper divisors (4807453896).

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

2120303304 is a wasteful number, since it uses less digits than its factorization.

2120303304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22294 (or 22271 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2120303304 is about 46046.7512860571. The cubic root of 2120303304 is about 1284.6929179861.

Adding to 2120303304 its reverse (4033030212), we get a palindrome (6153333516).

The spelling of 2120303304 in words is "two billion, one hundred twenty million, three hundred three thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 81 84 98 108 126 147 162 168 189 196 216 243 252 294 324 378 392 441 486 504 567 588 648 756 882 972 1134 1176 1323 1512 1701 1764 1944 2268 2646 3402 3528 3969 4536 5292 6804 7938 10584 11907 13608 15876 22259 23814 31752 44518 47628 66777 89036 95256 133554 155813 178072 200331 267108 311626 400662 467439 534216 600993 623252 801324 934878 1090691 1201986 1246504 1402317 1602648 1802979 1869756 2181382 2403972 2804634 3272073 3605958 3739512 4206951 4362764 4807944 5408937 5609268 6544146 7211916 8413902 8725528 9816219 10817874 11218536 12620853 13088292 14423832 16827804 19632438 21635748 25241706 26176584 29448657 33655608 37862559 39264876 43271496 50483412 58897314 75725118 78529752 88345971 100966824 117794628 151450236 176691942 235589256 265037913 302900472 353383884 530075826 706767768 1060151652 2120303304