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110220022011 = 31131230711321
BaseRepresentation
bin110011010100110100…
…0000001000011111011
3101112111102102020211110
41212221220001003323
53301212311201021
6122345005331403
710651232505021
oct1465150010373
9345442366743
10110220022011
1142820368990
1219440566b63
13a516c74648
1454984d8711
152d015a9476
hex19a9a010fb

110220022011 has 48 divisors (see below), whose sum is σ = 166212756864. Its totient is φ = 64428912000.

The previous prime is 110220022009. The next prime is 110220022043.

110220022011 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 110220022011 - 21 = 110220022009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (110220022111) 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 47 ways as a sum of consecutive naturals, for example, 9730231 + ... + 9741551.

It is an arithmetic number, because the mean of its divisors is an integer number (3462765768).

Almost surely, 2110220022011 is an apocalyptic number.

110220022011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

110220022011 is a deficient number, since it is larger than the sum of its proper divisors (55992734853).

110220022011 is a wasteful number, since it uses less digits than its factorization.

110220022011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11704 (or 11673 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

It can be divided in two parts, 1102200 and 22011, that added together give a palindrome (1124211).

The spelling of 110220022011 in words is "one hundred ten billion, two hundred twenty million, twenty-two thousand, eleven".

Divisors: 1 3 11 31 33 93 307 341 921 961 1023 2883 3377 9517 10131 10571 11321 28551 31713 33963 104687 124531 295027 314061 350951 373593 885081 1052853 3245297 3475547 3860461 9735891 10426641 10879481 11581383 32638443 38231017 107741957 114693051 119674291 323225871 359022873 1185161527 3340000667 3555484581 10020002001 36740007337 110220022011