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2123003120 = 245712729851
BaseRepresentation
bin111111010001010…
…0111010011110000
312110221210201210012
41332202213103300
513321442044440
6550355154052
7103416141320
oct17642472360
95427721705
102123003120
1199a41a737
124b2ba5928
1327aab3184
14161d57280
15c65ace65
hex7e8a74f0

2123003120 has 80 divisors (see below), whose sum is σ = 5685731328. Its totient is φ = 722131200.

The previous prime is 2123003111. The next prime is 2123003159. The reversal of 2123003120 is 213003212.

It is a happy number.

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 (14).

It is a junction number, because it is equal to n+sod(n) for n = 2123003095 and 2123003104.

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 15 ways as a sum of consecutive naturals, for example, 56195 + ... + 86045.

Almost surely, 22123003120 is an apocalyptic number.

2123003120 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 2123003120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2842865664).

2123003120 is an abundant number, since it is smaller than the sum of its proper divisors (3562728208).

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

2123003120 is a wasteful number, since it uses less digits than its factorization.

2123003120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29998 (or 29992 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2123003120 is about 46076.0579911086. The cubic root of 2123003120 is about 1285.2379600392.

Adding to 2123003120 its reverse (213003212), we get a palindrome (2336006332).

The spelling of 2123003120 in words is "two billion, one hundred twenty-three million, three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 127 140 254 280 508 560 635 889 1016 1270 1778 2032 2540 3556 4445 5080 7112 8890 10160 14224 17780 29851 35560 59702 71120 119404 149255 208957 238808 298510 417914 477616 597020 835828 1044785 1194040 1671656 2089570 2388080 3343312 3791077 4179140 7582154 8358280 15164308 16716560 18955385 26537539 30328616 37910770 53075078 60657232 75821540 106150156 132687695 151643080 212300312 265375390 303286160 424600624 530750780 1061501560 2123003120