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2111003120 = 245471932909
BaseRepresentation
bin111110111010011…
…0101100111110000
312110010020001212202
41331310311213300
513310404044440
6545250042332
7103212142022
oct17564654760
95403201782
102111003120
11993673986
124aab793a8
13278471195
14160512012
15c54dc615
hex7dd359f0

2111003120 has 80 divisors (see below), whose sum is σ = 5040213120. Its totient is φ = 821870592.

The previous prime is 2111003117. The next prime is 2111003131. The reversal of 2111003120 is 213001112.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 724226 + ... + 727134.

It is an arithmetic number, because the mean of its divisors is an integer number (63002664).

Almost surely, 22111003120 is an apocalyptic number.

2111003120 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 2111003120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2520106560).

2111003120 is an abundant number, since it is smaller than the sum of its proper divisors (2929210000).

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

2111003120 is a wasteful number, since it uses less digits than its factorization.

2111003120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3162 (or 3156 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 2111003120 is about 45945.6539838100. The cubic root of 2111003120 is about 1282.8118361624.

Adding to 2111003120 its reverse (213001112), we get a palindrome (2324004232).

The spelling of 2111003120 in words is "two billion, one hundred eleven million, three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 188 193 235 376 386 470 752 772 940 965 1544 1880 1930 2909 3088 3760 3860 5818 7720 9071 11636 14545 15440 18142 23272 29090 36284 45355 46544 58180 72568 90710 116360 136723 145136 181420 232720 273446 362840 546892 561437 683615 725680 1093784 1122874 1367230 2187568 2245748 2734460 2807185 4491496 5468920 5614370 8982992 10937840 11228740 22457480 26387539 44914960 52775078 105550156 131937695 211100312 263875390 422200624 527750780 1055501560 2111003120