Search a number
-
+
211211210221119 = 348749129803589
BaseRepresentation
bin110000000001100001110001…
…001010000110011000111111
31000200211121001101120122210000
4300001201301022012120333
5210140441024304033434
62025113031313045343
762326335453665433
oct6001416112063077
91020747041518700
10211211210221119
11613311979a5509
121b832192b56853
1390b1193352124
143a2296a0309c3
15196414ce34b99
hexc0187128663f

211211210221119 has 20 divisors (see below), whose sum is σ = 315516659249880. Its totient is φ = 140805859362480.

The previous prime is 211211210221111. The next prime is 211211210221147. The reversal of 211211210221119 is 911122012112112.

It is a happy number.

211211210221119 is a `hidden beast` number, since 2 + 1 + 1 + 211 + 210 + 221 + 1 + 19 = 666.

It is not a de Polignac number, because 211211210221119 - 23 = 211211210221111 is a prime.

It is a super-2 number, since 2×2112112102211192 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 211211210221092 and 211211210221101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211211210221111) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7815024 + ... + 21988565.

It is an arithmetic number, because the mean of its divisors is an integer number (15775832962494).

Almost surely, 2211211210221119 is an apocalyptic number.

211211210221119 is a deficient number, since it is larger than the sum of its proper divisors (104305449028761).

211211210221119 is an equidigital number, since it uses as much as digits as its factorization.

211211210221119 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29891092 (or 29891083 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 27.

The spelling of 211211210221119 in words is "two hundred eleven trillion, two hundred eleven billion, two hundred ten million, two hundred twenty-one thousand, one hundred nineteen".

Divisors: 1 3 9 27 81 87491 262473 787419 2362257 7086771 29803589 89410767 268232301 804696903 2414090709 2607545805199 7822637415597 23467912246791 70403736740373 211211210221119