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211120022212011 = 321147409110936143
BaseRepresentation
bin110000000000001100110101…
…111011011100110110101011
31000200111212200100020211112100
4300000030311323130312223
5210132442301141241021
62025003111013344443
762316626650464453
oct6000146573346653
91020455610224470
10211120022212011
11612a6553718610
121b818584338123
1390a56c03764a3
143a1c399444d63
151961ab263a626
hexc00335edcdab

211120022212011 has 48 divisors (see below), whose sum is σ = 340582836971520. Its totient is φ = 124922970783360.

The previous prime is 211120022211919. The next prime is 211120022212063. The reversal of 211120022212011 is 110212220021112.

211120022212011 is a `hidden beast` number, since 2 + 111 + 200 + 222 + 120 + 11 = 666.

211120022212011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 211120022212011 - 214 = 211120022195627 is a prime.

It is not an unprimeable number, because it can be changed into a prime (211120020212011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53564995 + ... + 57371148.

It is an arithmetic number, because the mean of its divisors is an integer number (7095475770240).

Almost surely, 2211120022212011 is an apocalyptic number.

211120022212011 is a deficient number, since it is larger than the sum of its proper divisors (129462814759509).

211120022212011 is a wasteful number, since it uses less digits than its factorization.

211120022212011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110936616 (or 110936613 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 211120022212011 its reverse (110212220021112), we get a palindrome (321332242233123).

The spelling of 211120022212011 in words is "two hundred eleven trillion, one hundred twenty billion, twenty-two million, two hundred twelve thousand, eleven".

Divisors: 1 3 9 11 33 47 99 141 409 423 517 1227 1551 3681 4499 4653 13497 19223 40491 57669 173007 211453 634359 1903077 110936143 332808429 998425287 1220297573 3660892719 5213998721 10982678157 15641996163 45372882487 46925988489 57353985931 136118647461 172061957793 408355942383 499101707357 516185873379 1497305122071 2132525476889 4491915366213 6397576430667 19192729292001 23457780245779 70373340737337 211120022212011