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211122100011200 = 2652718850187501
BaseRepresentation
bin110000000000001110110001…
…110001101000000011000000
31000200112002001010222222011212
4300000032301301220003000
5210133011030100324300
62025004053120025252
762320032310465160
oct6000166161500300
91020462033888155
10211122100011200
11612a741a572924
121b818a64162228
1390a5961990271
143a1c5153925a0
151961b84c69935
hexc003b1c680c0

211122100011200 has 84 divisors (see below), whose sum is σ = 593705505562992. Its totient is φ = 72384720000000.

The previous prime is 211122100011161. The next prime is 211122100011289. The reversal of 211122100011200 is 2110001221112.

It is a super-2 number, since 2×2111221000112002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9425082551 + ... + 9425104950.

Almost surely, 2211122100011200 is an apocalyptic number.

211122100011200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211122100011200 is an abundant number, since it is smaller than the sum of its proper divisors (382583405551792).

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

211122100011200 is a wasteful number, since it uses less digits than its factorization.

211122100011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18850187530 (or 18850187515 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 211122100011200 its reverse (2110001221112), we get a palindrome (213232101232312).

The spelling of 211122100011200 in words is "two hundred eleven trillion, one hundred twenty-two billion, one hundred million, eleven thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 140 160 175 200 224 280 320 350 400 448 560 700 800 1120 1400 1600 2240 2800 5600 11200 18850187501 37700375002 75400750004 94250937505 131951312507 150801500008 188501875010 263902625014 301603000016 377003750020 471254687525 527805250028 603206000032 659756562535 754007500040 942509375050 1055610500056 1206412000064 1319513125070 1508015000080 1885018750100 2111221000112 2639026250140 3016030000160 3298782812675 3770037500200 4222442000224 5278052500280 6032060000320 6597565625350 7540075000400 8444884000448 10556105000560 13195131250700 15080150000800 21112210001120 26390262501400 30160300001600 42224420002240 52780525002800 105561050005600 211122100011200