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211121101210120 = 2355749918077497
BaseRepresentation
bin110000000000001101110110…
…001111100000001000001000
31000200111222110112120121200021
4300000031312033200020020
5210133002003402210440
62025003410040150224
762316665462016523
oct6000156617401010
91020458415517607
10211121101210120
11612a6a57798892
121b818825768374
1390a5832a829ca
143a1c45c877bba
151961b2722384a
hexc003763e0208

211121101210120 has 32 divisors (see below), whose sum is σ = 475105105215000. Its totient is φ = 84433751152128.

The previous prime is 211121101210111. The next prime is 211121101210121. The reversal of 211121101210120 is 21012101121112.

It can be written as a sum of positive squares in 4 ways, for example, as 81787026529924 + 129334074680196 = 9043618^2 + 11372514^2 .

It is a junction number, because it is equal to n+sod(n) for n = 211121101210094 and 211121101210103.

It is not an unprimeable number, because it can be changed into a prime (211121101210121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 458808789 + ... + 459268708.

Almost surely, 2211121101210120 is an apocalyptic number.

211121101210120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211121101210120 is an abundant number, since it is smaller than the sum of its proper divisors (263984004004880).

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

211121101210120 is a wasteful number, since it uses less digits than its factorization.

211121101210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918083257 (or 918083253 counting only the distinct ones).

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

Adding to 211121101210120 its reverse (21012101121112), we get a palindrome (232133202331232).

The spelling of 211121101210120 in words is "two hundred eleven trillion, one hundred twenty-one billion, one hundred one million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 5749 11498 22996 28745 45992 57490 114980 229960 918077497 1836154994 3672309988 4590387485 7344619976 9180774970 18361549940 36723099880 5278027530253 10556055060506 21112110121012 26390137651265 42224220242024 52780275302530 105560550605060 211121101210120