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211122020201220 = 223251172900112229
BaseRepresentation
bin110000000000001110101101…
…000001001011001100000100
31000200112001211120211012110200
4300000032231001023030010
5210133010344132414340
62025004041145250500
762320030321223052
oct6000165501131404
91020461746735420
10211122020201220
11612a7389511467
121b818a41493a30
1390a594b29851b
143a1c5089391d2
151961b7cc52330
hexc003ad04b304

211122020201220 has 36 divisors (see below), whose sum is σ = 640403461277580. Its totient is φ = 56299205386944.

The previous prime is 211122020201201. The next prime is 211122020201227. The reversal of 211122020201220 is 22102020221112.

It is a happy number.

211122020201220 is a `hidden beast` number, since 2 + 1 + 1 + 1 + 220 + 20 + 201 + 220 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 144383871488256 + 66738148712964 = 12015984^2 + 8169342^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 211122020201193 and 211122020201202.

It is not an unprimeable number, because it can be changed into a prime (211122020201227) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 586450055935 + ... + 586450056294.

Almost surely, 2211122020201220 is an apocalyptic number.

211122020201220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211122020201220 is an abundant number, since it is smaller than the sum of its proper divisors (429281441076360).

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

211122020201220 is a wasteful number, since it uses less digits than its factorization.

211122020201220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172900112244 (or 1172900112239 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 211122020201220 its reverse (22102020221112), we get a palindrome (233224040422332).

The spelling of 211122020201220 in words is "two hundred eleven trillion, one hundred twenty-two billion, twenty million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1172900112229 2345800224458 3518700336687 4691600448916 5864500561145 7037400673374 10556101010061 11729001122290 14074801346748 17593501683435 21112202020122 23458002244580 35187003366870 42224404040244 52780505050305 70374006733740 105561010100610 211122020201220