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11000221121110 = 2513149699181233
BaseRepresentation
bin1010000000010011000001…
…0001011011101001010110
31102221121111022201210110011
42200010300101123221112
52420211423101333420
635221233134550434
72213511506526304
oct240046021335126
942847438653404
1011000221121110
113561193058531
121297abb96841a
1361a416194b50
142a05b0a95274
1514121acd695a
hexa013045ba56

11000221121110 has 64 divisors (see below), whose sum is σ = 21469951238400. Its totient is φ = 4033734174720.

The previous prime is 11000221121093. The next prime is 11000221121111. The reversal of 11000221121110 is 1112112200011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000221121111) 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, 135375054 + ... + 135456286.

It is an arithmetic number, because the mean of its divisors is an integer number (335467988100).

Almost surely, 211000221121110 is an apocalyptic number.

11000221121110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11000221121110 is a deficient number, since it is larger than the sum of its proper divisors (10469730117290).

11000221121110 is a wasteful number, since it uses less digits than its factorization.

11000221121110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88393.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 11000221121110 its reverse (1112112200011), we get a palindrome (12112333321121).

The spelling of 11000221121110 in words is "eleven trillion, two hundred twenty-one million, one hundred twenty-one thousand, one hundred ten".

Divisors: 1 2 5 10 13 26 65 130 149 298 745 1490 1937 3874 6991 9685 13982 19370 34955 69910 81233 90883 162466 181766 406165 454415 812330 908830 1041659 1056029 2083318 2112058 5208295 5280145 10416590 10560290 12103717 13541567 24207434 27083134 60518585 67707835 121037170 135415670 157348321 314696642 567899903 786741605 1135799806 1573483210 2839499515 5678999030 7382698739 14765397478 36913493695 73826987390 84617085547 169234171094 423085427735 846170855470 1100022112111 2200044224222 5500110560555 11000221121110