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2113123233200 = 24527977780277
BaseRepresentation
bin11110101111111111111…
…101011010110110110000
321111000100012011111211212
4132233333331122312300
5234110134021430300
64254431100255252
7305445110056460
oct36577775326660
97430305144755
102113123233200
11745196a81261
122a1654841528
13124360b32255
14743c0797ba0
1539e793ac935
hex1ebfff5adb0

2113123233200 has 120 divisors (see below), whose sum is σ = 5861848171872. Its totient is φ = 717030236160.

The previous prime is 2113123233167. The next prime is 2113123233227. The reversal of 2113123233200 is 23323213112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3618539 + ... + 4161738.

Almost surely, 22113123233200 is an apocalyptic number.

2113123233200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2113123233200 is an abundant number, since it is smaller than the sum of its proper divisors (3748724938672).

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

2113123233200 is a wasteful number, since it uses less digits than its factorization.

2113123233200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7780399 (or 7780388 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 2113123233200 its reverse (23323213112), we get a palindrome (2136446446312).

The spelling of 2113123233200 in words is "two trillion, one hundred thirteen billion, one hundred twenty-three million, two hundred thirty-three thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 97 100 112 140 175 194 200 280 350 388 400 485 560 679 700 776 970 1358 1400 1552 1940 2425 2716 2800 3395 3880 4850 5432 6790 7760 9700 10864 13580 16975 19400 27160 33950 38800 54320 67900 135800 271600 7780277 15560554 31121108 38901385 54461939 62242216 77802770 108923878 124484432 155605540 194506925 217847756 272309695 311211080 389013850 435695512 544619390 622422160 754686869 778027700 871391024 1089238780 1361548475 1509373738 1556055400 2178477560 2723096950 3018747476 3112110800 3773434345 4356955120 5282808083 5446193900 6037494952 7546868690 10565616166 10892387800 12074989904 15093737380 18867171725 21131232332 21784775600 26414040415 30187474760 37734343450 42262464664 52828080830 60374949520 75468686900 84524929328 105656161660 132070202075 150937373800 211312323320 264140404150 301874747600 422624646640 528280808300 1056561616600 2113123233200