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211121221001112 = 23323779249707583
BaseRepresentation
bin110000000000001101111101…
…011000011101111110011000
31000200111222202212222122000200
4300000031331120131332120
5210133002230034013422
62025003425555502200
762320001445150432
oct6000157530357630
91020458685878020
10211121221001112
11612a7009377604
121b8188598b7960
1390a5851835756
143a1c47073b652
151961b329d72ac
hexc0037d61df98

211121221001112 has 48 divisors (see below), whose sum is σ = 587240333197440. Its totient is φ = 68471747350848.

The previous prime is 211121221001083. The next prime is 211121221001113. The reversal of 211121221001112 is 211100122121112.

It is a happy number.

211121221001112 is a `hidden beast` number, since 211 + 121 + 221 + 0 + 0 + 1 + 112 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211121221001113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39624851128 + ... + 39624856455.

It is an arithmetic number, because the mean of its divisors is an integer number (12234173608280).

Almost surely, 2211121221001112 is an apocalyptic number.

It is an amenable number.

211121221001112 is an abundant number, since it is smaller than the sum of its proper divisors (376119112196328).

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

211121221001112 is a wasteful number, since it uses less digits than its factorization.

211121221001112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79249707632 (or 79249707625 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 211121221001112 its reverse (211100122121112), we get a palindrome (422221343122224).

The spelling of 211121221001112 in words is "two hundred eleven trillion, one hundred twenty-one billion, two hundred twenty-one million, one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 888 1332 2664 79249707583 158499415166 237749122749 316998830332 475498245498 633997660664 713247368247 950996490996 1426494736494 1901992981992 2852989472988 2932239180571 5705978945976 5864478361142 8796717541713 11728956722284 17593435083426 23457913444568 26390152625139 35186870166852 52780305250278 70373740333704 105560610500556 211121221001112