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211000111011 = 32374117099043
BaseRepresentation
bin1100010010000010010…
…1100010111110100011
3202011121221221020000100
43010200211202332203
511424112012023021
6240533200353443
721146531231334
oct3044045427643
9664557836010
10211000111011
1181537075438
1234a87615883
1316b882851c1
14a2d8dc028b
15574e036626
hex3120962fa3

211000111011 has 48 divisors (see below), whose sum is σ = 320872799520. Its totient is φ = 133433879040.

The previous prime is 211000111009. The next prime is 211000111027. The reversal of 211000111011 is 110111000112.

It is not a de Polignac number, because 211000111011 - 21 = 211000111009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 211000110984 and 211000111002.

It is not an unprimeable number, because it can be changed into a prime (211000111051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23328456 + ... + 23337498.

It is an arithmetic number, because the mean of its divisors is an integer number (6684849990).

Almost surely, 2211000111011 is an apocalyptic number.

211000111011 is a deficient number, since it is larger than the sum of its proper divisors (109872688509).

211000111011 is a wasteful number, since it uses less digits than its factorization.

211000111011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10836 (or 10833 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 211000111011 its reverse (110111000112), we get a palindrome (321111111123).

The spelling of 211000111011 in words is "two hundred eleven billion, one hundred eleven thousand, eleven".

Divisors: 1 3 9 37 41 111 123 333 369 1517 1709 4551 5127 9043 13653 15381 27129 63233 70069 81387 189699 210207 334591 370763 569097 630621 1003773 1112289 2592553 3011319 3336867 7777659 13718231 15454487 23332977 41154693 46363461 123464079 139090383 571816019 633633967 1715448057 1900901901 5146344171 5702705703 23444456779 70333370337 211000111011