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20111221101 = 3791015411553
BaseRepresentation
bin10010101110101110…
…001110000101101101
31220220120210212220210
4102232232032011231
5312141433033401
613123341133033
71311242362446
oct225656160555
956816725823
1020111221101
118590295094
123a9325a179
131b86749a3a
14d8ad982cd
157ca8da4d6
hex4aeb8e16d

20111221101 has 32 divisors (see below), whose sum is σ = 27491627520. Its totient is φ = 13074048000.

The previous prime is 20111221069. The next prime is 20111221103. The reversal of 20111221101 is 10112211102.

It is not a de Polignac number, because 20111221101 - 25 = 20111221069 is a prime.

It is a super-2 number, since 2×201112211012 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20111221103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12949141 + ... + 12950693.

It is an arithmetic number, because the mean of its divisors is an integer number (859113360).

Almost surely, 220111221101 is an apocalyptic number.

It is an amenable number.

20111221101 is a deficient number, since it is larger than the sum of its proper divisors (7380406419).

20111221101 is a wasteful number, since it uses less digits than its factorization.

20111221101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2277.

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

Adding to 20111221101 its reverse (10112211102), we get a palindrome (30223432203).

Subtracting from 20111221101 its reverse (10112211102), we obtain a palindrome (9999009999).

The spelling of 20111221101 in words is "twenty billion, one hundred eleven million, two hundred twenty-one thousand, one hundred one".

Divisors: 1 3 79 101 237 303 541 1553 1623 4659 7979 23937 42739 54641 122687 128217 156853 163923 368061 470559 840173 2520519 4316639 12391387 12949917 37174161 66373667 84857473 199121001 254572419 6703740367 20111221101