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102221000211 = 31110159351719
BaseRepresentation
bin101111100110011011…
…0001010111000010011
3100202211221211211202210
41133030312022320103
53133322034001321
6114543142443203
710246063110531
oct1371466127023
9322757754683
10102221000211
113a3960a9470
1217989733503
1398409b4855
144d3a007151
1529d4203b76
hex17ccd8ae13

102221000211 has 32 divisors (see below), whose sum is σ = 150413345280. Its totient is φ = 61234112000.

The previous prime is 102221000183. The next prime is 102221000213. The reversal of 102221000211 is 112000122201.

It is a cyclic number.

It is not a de Polignac number, because 102221000211 - 211 = 102220998163 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102221000213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1950610 + ... + 2002328.

It is an arithmetic number, because the mean of its divisors is an integer number (4700417040).

Almost surely, 2102221000211 is an apocalyptic number.

102221000211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102221000211 is a deficient number, since it is larger than the sum of its proper divisors (48192345069).

102221000211 is a wasteful number, since it uses less digits than its factorization.

102221000211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52427.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102221000211 its reverse (112000122201), we get a palindrome (214221122412).

The spelling of 102221000211 in words is "one hundred two billion, two hundred twenty-one million, two hundred eleven", and thus it is an aban number.

Divisors: 1 3 11 33 101 303 593 1111 1779 3333 6523 19569 51719 59893 155157 179679 568909 658823 1706727 1976469 5223619 15670857 30669367 57459809 92008101 172379427 337363037 1012089111 3097606067 9292818201 34073666737 102221000211