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211121220101112 = 233210129032070971
BaseRepresentation
bin110000000000001101111101…
…010101000010001111111000
31000200111222202211021220110100
4300000031331111002033320
5210133002224321213422
62025003425524315400
762320001434411506
oct6000157525021770
91020458684256410
10211121220101112
11612a7008912402
121b818859542b60
1390a58515abbc9
143a1c470585676
151961b328aa7ac
hexc0037d5423f8

211121220101112 has 48 divisors (see below), whose sum is σ = 577447891633080. Its totient is φ = 69676970328000.

The previous prime is 211121220101069. The next prime is 211121220101119. The reversal of 211121220101112 is 211101022121112.

It is a happy number.

211121220101112 is a `hidden beast` number, since 211 + 1 + 21 + 220 + 101 + 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 (211121220101119) 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, 14516028214 + ... + 14516042757.

Almost surely, 2211121220101112 is an apocalyptic number.

It is an amenable number.

211121220101112 is an abundant number, since it is smaller than the sum of its proper divisors (366326671531968).

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

211121220101112 is a wasteful number, since it uses less digits than its factorization.

211121220101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29032071084 (or 29032071077 counting only the distinct ones).

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

Adding to 211121220101112 its reverse (211101022121112), we get a palindrome (422222242222224).

The spelling of 211121220101112 in words is "two hundred eleven trillion, one hundred twenty-one billion, two hundred twenty million, one hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 101 202 303 404 606 808 909 1212 1818 2424 3636 7272 29032070971 58064141942 87096212913 116128283884 174192425826 232256567768 261288638739 348384851652 522577277478 696769703304 1045154554956 2090309109912 2932239168071 5864478336142 8796717504213 11728956672284 17593435008426 23457913344568 26390152512639 35186870016852 52780305025278 70373740033704 105560610050556 211121220101112