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11111101221 = 3113726933829
BaseRepresentation
bin10100101100100010…
…11111001100100101
31001200100111102110110
422112101133030211
5140223420214341
65034313243233
7542225542053
oct122621371445
931610442413
1011111101221
114791a21890
1221a1103519
131080c5700c
147759511d3
154506d8216
hex29645f325

11111101221 has 32 divisors (see below), whose sum is σ = 16660598400. Its totient is φ = 6527450880.

The previous prime is 11111101217. The next prime is 11111101241. The reversal of 11111101221 is 12210111111.

11111101221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11111101221 - 22 = 11111101217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11111101197 and 11111101206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11111101241) 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, 311535 + ... + 345363.

It is an arithmetic number, because the mean of its divisors is an integer number (520643700).

Almost surely, 211111101221 is an apocalyptic number.

11111101221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11111101221 is a deficient number, since it is larger than the sum of its proper divisors (5549497179).

11111101221 is a wasteful number, since it uses less digits than its factorization.

11111101221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34149.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 11111101221 its reverse (12210111111), we get a palindrome (23321212332).

The spelling of 11111101221 in words is "eleven billion, one hundred eleven million, one hundred one thousand, two hundred twenty-one".

Divisors: 1 3 11 33 37 111 269 407 807 1221 2959 8877 9953 29859 33829 101487 109483 328449 372119 1116357 1251673 3755019 9100001 13768403 27300003 41305209 100100011 300300033 336700037 1010100111 3703700407 11111101221