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211120200122200 = 235231229611483021
BaseRepresentation
bin110000000000001101000000…
…100010000111111101011000
31000200111220010202000121102121
4300000031000202013331120
5210132443132212402300
62025003140410511024
762316634240630165
oct6000150042077530
91020456122017377
10211120200122200
11612a6635093126
121b818613a35474
1390a571b1980a5
143a1c3b4d1706c
151961ac307e81a
hexc00340887f58

211120200122200 has 96 divisors (see below), whose sum is σ = 506710889320320. Its totient is φ = 81720334080000.

The previous prime is 211120200122191. The next prime is 211120200122203. The reversal of 211120200122200 is 2221002021112.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211120200122203) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 141616690 + ... + 143099710.

It is an arithmetic number, because the mean of its divisors is an integer number (5278238430420).

Almost surely, 2211120200122200 is an apocalyptic number.

211120200122200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211120200122200 is an abundant number, since it is smaller than the sum of its proper divisors (295590689198120).

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

211120200122200 is a wasteful number, since it uses less digits than its factorization.

211120200122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1506029 (or 1506020 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 211120200122200 its reverse (2221002021112), we get a palindrome (213341202143312).

The spelling of 211120200122200 in words is "two hundred eleven trillion, one hundred twenty billion, two hundred million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 155 200 248 310 620 775 1240 1550 3100 6200 22961 45922 91844 114805 183688 229610 459220 574025 711791 918440 1148050 1423582 1483021 2296100 2847164 2966042 3558955 4592200 5694328 5932084 7117910 7415105 11864168 14235820 14830210 17794775 28471640 29660420 35589550 37075525 45973651 59320840 71179100 74151050 91947302 142358200 148302100 183894604 229868255 296604200 367789208 459736510 919473020 1149341275 1838946040 2298682550 4597365100 9194730200 34051645181 68103290362 136206580724 170258225905 272413161448 340516451810 681032903620 851291129525 1055601000611 1362065807240 1702582259050 2111202001222 3405164518100 4222404002444 5278005003055 6810329036200 8444808004888 10556010006110 21112020012220 26390025015275 42224040024440 52780050030550 105560100061100 211120200122200