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2111330320 = 2451115115889
BaseRepresentation
bin111110111011000…
…0101100000010000
312110010211200201021
41331312011200100
513311000032240
6545301045224
7103215003661
oct17566054020
95403750637
102111330320
119938777a0
124ab0b6814
132785570a8
14160599368
15c555454a
hex7dd85810

2111330320 has 80 divisors (see below), whose sum is σ = 5390904960. Its totient is φ = 762624000.

The previous prime is 2111330303. The next prime is 2111330339. The reversal of 2111330320 is 230331112.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2111330294 and 2111330303.

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, 124936 + ... + 140824.

It is an arithmetic number, because the mean of its divisors is an integer number (67386312).

Almost surely, 22111330320 is an apocalyptic number.

2111330320 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 2111330320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2695452480).

2111330320 is an abundant number, since it is smaller than the sum of its proper divisors (3279574640).

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

2111330320 is a wasteful number, since it uses less digits than its factorization.

2111330320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16064 (or 16058 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 2111330320 is about 45949.2145743537. The cubic root of 2111330320 is about 1282.8781102392.

Adding to 2111330320 its reverse (230331112), we get a palindrome (2341661432).

The spelling of 2111330320 in words is "two billion, one hundred eleven million, three hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 151 176 220 302 440 604 755 880 1208 1510 1661 2416 3020 3322 6040 6644 8305 12080 13288 15889 16610 26576 31778 33220 63556 66440 79445 127112 132880 158890 174779 254224 317780 349558 635560 699116 873895 1271120 1398232 1747790 2399239 2796464 3495580 4798478 6991160 9596956 11996195 13982320 19193912 23992390 26391629 38387824 47984780 52783258 95969560 105566516 131958145 191939120 211133032 263916290 422266064 527832580 1055665160 2111330320