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211121211121220 = 22554119512126721
BaseRepresentation
bin110000000000001101111100…
…110010110001111001000100
31000200111222202012101200100202
4300000031330302301321010
5210133002220021334340
62025003425004030032
762320001265161201
oct6000157462617104
91020458665350322
10211121211121220
11612a7003839704
121b818856532318
1390a584c78676a
143a1c46d2c8ca8
151961b31bd4c15
hexc0037ccb1e44

211121211121220 has 24 divisors (see below), whose sum is σ = 444174052699608. Its totient is φ = 84292387430400.

The previous prime is 211121211121211. The next prime is 211121211121243. The reversal of 211121211121220 is 22121112121112.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3838848652804 + 207282362468416 = 1959298^2 + 14397304^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 211121211121192 and 211121211121201.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9756052541 + ... + 9756074180.

It is an arithmetic number, because the mean of its divisors is an integer number (18507252195817).

Almost surely, 2211121211121220 is an apocalyptic number.

211121211121220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211121211121220 is an abundant number, since it is smaller than the sum of its proper divisors (233052841578388).

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

211121211121220 is a wasteful number, since it uses less digits than its factorization.

211121211121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19512127271 (or 19512127269 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 20.

Adding to 211121211121220 its reverse (22121112121112), we get a palindrome (233242323242332).

The spelling of 211121211121220 in words is "two hundred eleven trillion, one hundred twenty-one billion, two hundred eleven million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 541 1082 2164 2705 5410 10820 19512126721 39024253442 78048506884 97560633605 195121267210 390242534420 10556060556061 21112121112122 42224242224244 52780302780305 105560605560610 211121211121220