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22002111102111 = 3713127112950151
BaseRepresentation
bin1010000000010110001000…
…00001000011110010011111
32212220101021221201110021220
411000023010001003302133
510340440310420231421
6114443344051224423
74430412552423420
oct500130401036237
985811257643256
1022002111102111
11701305213a108
1225741a65a8113
13c37a3702234a
14560c9d247647
152824d33703c6
hex1402c4043c9f

22002111102111 has 32 divisors (see below), whose sum is σ = 33795430834176. Its totient is φ = 12472054140000.

The previous prime is 22002111102043. The next prime is 22002111102121. The reversal of 22002111102111 is 11120111120022.

It is a happy number.

It is not a de Polignac number, because 22002111102111 - 27 = 22002111101983 is a prime.

It is a super-2 number, since 2×220021111021112 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22002111102121) 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 31 ways as a sum of consecutive naturals, for example, 5982886 + ... + 8933036.

It is an arithmetic number, because the mean of its divisors is an integer number (1056107213568).

Almost surely, 222002111102111 is an apocalyptic number.

22002111102111 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

22002111102111 is a deficient number, since it is larger than the sum of its proper divisors (11793319732065).

22002111102111 is a wasteful number, since it uses less digits than its factorization.

22002111102111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2953003.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 22002111102111 its reverse (11120111120022), we get a palindrome (33122222222133).

The spelling of 22002111102111 in words is "twenty-two trillion, two billion, one hundred eleven million, one hundred two thousand, one hundred eleven".

Divisors: 1 3 7 21 131 393 917 2711 2751 8133 18977 56931 355141 1065423 2485987 2950151 7457961 8850453 20651057 61953171 386469781 1159409343 2705288467 7997859361 8115865401 23993578083 55985015527 167955046581 1047719576291 3143158728873 7334037034037 22002111102111