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2123113322200 = 2352131237660131
BaseRepresentation
bin11110111001010011011…
…010100101011011011000
321111222010102021121122011
4132321103122211123120
5234241114002302300
64303202250435304
7306250504322413
oct36712332453330
97458112247564
102123113322200
11749453136a62
122a3582432b34
1312529375c510
1474a8b49ab7a
153a36145deba
hex1ee536a56d8

2123113322200 has 96 divisors (see below), whose sum is σ = 5320254638160. Its totient is φ = 783283852800.

The previous prime is 2123113322179. The next prime is 2123113322207. The reversal of 2123113322200 is 22233113212.

It is a super-2 number, since 2×21231133222002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123113322207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2886135 + ... + 3546265.

Almost surely, 22123113322200 is an apocalyptic number.

2123113322200 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 2123113322200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2660127319080).

2123113322200 is an abundant number, since it is smaller than the sum of its proper divisors (3197141315960).

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

2123113322200 is a wasteful number, since it uses less digits than its factorization.

2123113322200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661397 (or 661388 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 2123113322200 its reverse (22233113212), we get a palindrome (2145346435412).

The spelling of 2123113322200 in words is "two trillion, one hundred twenty-three billion, one hundred thirteen million, three hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1237 1300 2474 2600 4948 6185 9896 12370 16081 24740 30925 32162 49480 61850 64324 80405 123700 128648 160810 247400 321620 402025 643240 660131 804050 1320262 1608100 2640524 3216200 3300655 5281048 6601310 8581703 13202620 16503275 17163406 26405240 33006550 34326812 42908515 66013100 68653624 85817030 132026200 171634060 214542575 343268120 429085150 816582047 858170300 1633164094 1716340600 3266328188 4082910235 6532656376 8165820470 10615566611 16331640940 20414551175 21231133222 32663281880 40829102350 42462266444 53077833055 81658204700 84924532888 106155666110 163316409400 212311332220 265389165275 424622664440 530778330550 1061556661100 2123113322200