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2123132120 = 235971733163
BaseRepresentation
bin111111010001100…
…0110110011011000
312110222001021201222
41332203012303120
513322010211440
6550402031212
7103420216364
oct17643066330
95428037658
102123132120
1199a4a864a
124b3048508
1327ab29ac5
14161d8c2a4
15c65d62b5
hex7e8c6cd8

2123132120 has 64 divisors (see below), whose sum is σ = 4855727520. Its totient is φ = 835375104.

The previous prime is 2123132119. The next prime is 2123132153. The reversal of 2123132120 is 212313212.

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, 669659 + ... + 672821.

Almost surely, 22123132120 is an apocalyptic number.

2123132120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2123132120 is an abundant number, since it is smaller than the sum of its proper divisors (2732595400).

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

2123132120 is a wasteful number, since it uses less digits than its factorization.

2123132120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3444 (or 3440 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 2123132120 is about 46077.4578291815. The cubic root of 2123132120 is about 1285.2639911422.

Adding to 2123132120 its reverse (212313212), we get a palindrome (2335445332).

The spelling of 2123132120 in words is "two billion, one hundred twenty-three million, one hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 97 173 194 346 388 485 692 776 865 970 1384 1730 1940 3163 3460 3880 6326 6920 12652 15815 16781 25304 31630 33562 63260 67124 83905 126520 134248 167810 306811 335620 547199 613622 671240 1094398 1227244 1534055 2188796 2454488 2735995 3068110 4377592 5471990 6136220 10943980 12272440 21887960 53078303 106156606 212313212 265391515 424626424 530783030 1061566060 2123132120