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2113332320 = 255118231459
BaseRepresentation
bin111110111110110…
…1110010001100000
312110021121101221102
41331331232101200
513312003113240
6545412013532
7103241012501
oct17575562140
95407541842
102113332320
11994a14940
124ab9012a8
13278aa83c8
1416095aba8
15c57ec815
hex7df6e460

2113332320 has 96 divisors (see below), whose sum is σ = 5456989440. Its totient is φ = 767024640.

The previous prime is 2113332259. The next prime is 2113332343. The reversal of 2113332320 is 232333112.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2113332292 and 2113332301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1447751 + ... + 1449209.

It is an arithmetic number, because the mean of its divisors is an integer number (56843640).

Almost surely, 22113332320 is an apocalyptic number.

2113332320 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 2113332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2728494720).

2113332320 is an abundant number, since it is smaller than the sum of its proper divisors (3343657120).

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

2113332320 is a wasteful number, since it uses less digits than its factorization.

2113332320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2308 (or 2300 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 2113332320 is about 45970.9943333837. The cubic root of 2113332320 is about 1283.2834645639.

Adding to 2113332320 its reverse (232333112), we get a palindrome (2345665432).

It can be divided in two parts, 2113 and 332320, that added together give a palindrome (334433).

The spelling of 2113332320 in words is "two billion, one hundred thirteen million, three hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 823 880 1459 1646 1760 2918 3292 4115 5836 6584 7295 8230 9053 11672 13168 14590 16049 16460 18106 23344 26336 29180 32098 32920 36212 45265 46688 58360 64196 65840 72424 80245 90530 116720 128392 131680 144848 160490 181060 233440 256784 289696 320980 362120 513568 641960 724240 1200757 1283920 1448480 2401514 2567840 4803028 6003785 9606056 12007570 13208327 19212112 24015140 26416654 38424224 48030280 52833308 66041635 96060560 105666616 132083270 192121120 211333232 264166540 422666464 528333080 1056666160 2113332320