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11221201101 = 31117291016829
BaseRepresentation
bin10100111001101010…
…11111000011001101
31001222000200002002210
422130311133003031
5140440111413401
65053245141033
7545033431005
oct123465370315
931860602083
1011221201101
114839091520
122211b5a779
13109a9c5986
14786411005
1545a1d54d6
hex29cd5f0cd

11221201101 has 64 divisors (see below), whose sum is σ = 18057427200. Its totient is φ = 6117888000.

The previous prime is 11221201031. The next prime is 11221201111. The reversal of 11221201101 is 10110212211.

It is not a de Polignac number, because 11221201101 - 213 = 11221192909 is a prime.

It is a super-2 number, since 2×112212011012 (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 (11221201111) 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 63 ways as a sum of consecutive naturals, for example, 1639755 + ... + 1646583.

It is an arithmetic number, because the mean of its divisors is an integer number (282147300).

Almost surely, 211221201101 is an apocalyptic number.

11221201101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11221201101 is a deficient number, since it is larger than the sum of its proper divisors (6836226099).

11221201101 is a wasteful number, since it uses less digits than its factorization.

11221201101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6990.

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

Adding to 11221201101 its reverse (10110212211), we get a palindrome (21331413312).

The spelling of 11221201101 in words is "eleven billion, two hundred twenty-one million, two hundred one thousand, one hundred one".

Divisors: 1 3 11 17 29 33 51 87 101 187 303 319 493 561 957 1111 1479 1717 2929 3333 5151 5423 6829 8787 16269 18887 20487 32219 49793 56661 75119 96657 116093 149379 198041 225357 348279 547723 594123 689729 1277023 1643169 2069187 2178451 3366697 3831069 6535353 7587019 10100091 11725393 20002141 22761057 35176179 37033667 60006423 111101001 128979323 220023551 340036397 386937969 660070653 1020109191 3740400367 11221201101