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11221010101112 = 2371018353237509
BaseRepresentation
bin1010001101001001100001…
…0100100011001101111000
31110201201101111011002021212
42203102120110203031320
52432321112041213422
635510505541022252
72235456043065410
oct243223024431570
943651344132255
1011221010101112
113636892742039
1213128596b4988
136351a1483906
142ab157b59640
15146d3e3c39e2
hexa3498523378

11221010101112 has 64 divisors (see below), whose sum is σ = 24286100529600. Its totient is φ = 4760800358400.

The previous prime is 11221010101111. The next prime is 11221010101117. The reversal of 11221010101112 is 21110101012211.

It is a super-2 number, since 2×112210101011122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11221010101111) 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 15 ways as a sum of consecutive naturals, for example, 47125814 + ... + 47363322.

It is an arithmetic number, because the mean of its divisors is an integer number (379470320775).

Almost surely, 211221010101112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11221010101112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12143050264800).

11221010101112 is an abundant number, since it is smaller than the sum of its proper divisors (13065090428488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11221010101112 is a wasteful number, since it uses less digits than its factorization.

11221010101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245976 (or 245972 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 11221010101112 its reverse (21110101012211), we get a palindrome (32331111113323).

The spelling of 11221010101112 in words is "eleven trillion, two hundred twenty-one billion, ten million, one hundred one thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 28 56 101 202 404 707 808 1414 2828 5656 8353 16706 33412 58471 66824 116942 233884 237509 467768 475018 843653 950036 1662563 1687306 1900072 3325126 3374612 5905571 6650252 6749224 11811142 13300504 23622284 23988409 47244568 47976818 95953636 167918863 191907272 335837726 671675452 1343350904 1983912677 3967825354 7935650708 13887388739 15871301416 27774777478 55549554956 111099109912 200375180377 400750360754 801500721508 1402626262639 1603001443016 2805252525278 5610505050556 11221010101112