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1100223211113 = 331316319230301
BaseRepresentation
bin10000000000101010011…
…010011110011001101001
310220011212110002001211000
4100000222122132121221
5121011224120223423
62201234025425213
7142326361663545
oct20005232363151
93804773061730
101100223211113
11394669357894
1215929263b209
137c99b0cb460
143b372daca25
151d945392843
hex1002a69e669

1100223211113 has 32 divisors (see below), whose sum is σ = 1766110935680. Its totient is φ = 672906657600.

The previous prime is 1100223211091. The next prime is 1100223211211. The reversal of 1100223211113 is 3111123220011.

It is not a de Polignac number, because 1100223211113 - 216 = 1100223145577 is a prime.

It is a super-2 number, since 2×11002232111132 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1100223211513) 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, 9557938 + ... + 9672363.

It is an arithmetic number, because the mean of its divisors is an integer number (55190966740).

Almost surely, 21100223211113 is an apocalyptic number.

1100223211113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1100223211113 is a deficient number, since it is larger than the sum of its proper divisors (665887724567).

1100223211113 is a wasteful number, since it uses less digits than its factorization.

1100223211113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19230486 (or 19230480 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1100223211113 its reverse (3111123220011), we get a palindrome (4211346431124).

The spelling of 1100223211113 in words is "one trillion, one hundred billion, two hundred twenty-three million, two hundred eleven thousand, one hundred thirteen".

Divisors: 1 3 9 13 27 39 117 163 351 489 1467 2119 4401 6357 19071 57213 19230301 57690903 173072709 249993913 519218127 749981739 2249945217 3134539063 6749835651 9403617189 28210851567 40749007819 84632554701 122247023457 366741070371 1100223211113