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102221131111 = 11537124110247
BaseRepresentation
bin101111100110011011…
…0101010110101100111
3100202211222002111022221
41133030312222311213
53133322102143421
6114543145333211
710246064164261
oct1371466526547
9322758074287
10102221131111
113a396188850
1217989797207
139840a2c2c8
144d3a03cb31
1529d422c841
hex17ccdaad67

102221131111 has 32 divisors (see below), whose sum is σ = 115707626496. Its totient is φ = 89509056000.

The previous prime is 102221131109. The next prime is 102221131163. The reversal of 102221131111 is 111131122201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 102221131111 - 21 = 102221131109 is a prime.

It is a super-2 number, since 2×1022211311112 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102221131171) 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 31 ways as a sum of consecutive naturals, for example, 9970590 + ... + 9980836.

It is an arithmetic number, because the mean of its divisors is an integer number (3615863328).

Almost surely, 2102221131111 is an apocalyptic number.

102221131111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102221131111 is a deficient number, since it is larger than the sum of its proper divisors (13486495385).

102221131111 is a wasteful number, since it uses less digits than its factorization.

102221131111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10623.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 102221131111 its reverse (111131122201), we get a palindrome (213352253312).

It can be divided in two parts, 102221 and 131111, that added together give a palindrome (233332).

The spelling of 102221131111 in words is "one hundred two billion, two hundred twenty-one million, one hundred thirty-one thousand, one hundred eleven".

Divisors: 1 11 53 71 241 583 781 2651 3763 10247 12773 17111 41393 112717 140503 188221 543091 727537 906883 2469527 5974001 8002907 9975713 27164797 38559461 130884931 175336417 424154071 1439734241 1928700587 9292830101 102221131111