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1211000110221 = 311128532855129
BaseRepresentation
bin10001100111110101001…
…110110011110010001101
311021202210200100121102010
4101213311032303302031
5124320112012011341
62324154211051433
7153330466045146
oct21476516636215
94252720317363
101211000110221
11427644a9a780
121768495a0b79
138a273550575
1442881426acd
152177a79c716
hex119f53b3c8d

1211000110221 has 16 divisors (see below), whose sum is σ = 1761592368960. Its totient is φ = 733882101120.

The previous prime is 1211000110207. The next prime is 1211000110249. The reversal of 1211000110221 is 1220110001121.

It is not a de Polignac number, because 1211000110221 - 214 = 1211000093837 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1211000110197 and 1211000110206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1211000120221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1003416 + ... + 1851713.

It is an arithmetic number, because the mean of its divisors is an integer number (110099523060).

Almost surely, 21211000110221 is an apocalyptic number.

1211000110221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1211000110221 is a deficient number, since it is larger than the sum of its proper divisors (550592258739).

1211000110221 is a wasteful number, since it uses less digits than its factorization.

1211000110221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2867996.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1211000110221 its reverse (1220110001121), we get a palindrome (2431110111342).

The spelling of 1211000110221 in words is "one trillion, two hundred eleven billion, one hundred ten thousand, two hundred twenty-one".

Divisors: 1 3 11 33 12853 38559 141383 424149 2855129 8565387 31406419 94219257 36696973037 110090919111 403666703407 1211000110221