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211002111 = 3361128113
BaseRepresentation
bin11001001001110…
…10001011111111
3112201001000111000
430210322023333
5413004031421
632534301343
75141326335
oct1444721377
9481030430
10211002111
11a9118011
125a7b7853
133493a028
1420047b55
15137ce226
hexc93a2ff

211002111 has 16 divisors (see below), whose sum is σ = 317722720. Its totient is φ = 138360960.

The previous prime is 211002107. The next prime is 211002149. The reversal of 211002111 is 111200112.

It is a happy number.

It is not a de Polignac number, because 211002111 - 22 = 211002107 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 211002093 and 211002102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211002101) 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 15 ways as a sum of consecutive naturals, for example, 62410 + ... + 65703.

It is an arithmetic number, because the mean of its divisors is an integer number (19857670).

Almost surely, 2211002111 is an apocalyptic number.

211002111 is a deficient number, since it is larger than the sum of its proper divisors (106720609).

211002111 is a wasteful number, since it uses less digits than its factorization.

211002111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128183 (or 128177 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 211002111 is about 14525.9117097689. The cubic root of 211002111 is about 595.3361666951.

Adding to 211002111 its reverse (111200112), we get a palindrome (322202223).

The spelling of 211002111 in words is "two hundred eleven million, two thousand, one hundred eleven".

Divisors: 1 3 9 27 61 183 549 1647 128113 384339 1153017 3459051 7814893 23444679 70334037 211002111