Search a number
-
+
11221112001021 = 3131923243665723
BaseRepresentation
bin1010001101001001111001…
…1001010001000111111101
31110201201122120220010200120
42203102132121101013331
52432321314133013041
635510524021045153
72235461421162606
oct243223631210775
943651576803616
1011221112001021
113636935210a3a
1213128878567b9
136351b9611110
142ab1674c2dad
15146d48301366
hexa349e6511fd

11221112001021 has 96 divisors (see below), whose sum is σ = 18142203932160. Its totient is φ = 6111903143808.

The previous prime is 11221112000953. The next prime is 11221112001061. The reversal of 11221112001021 is 12010021112211.

It is a happy number.

It is not a de Polignac number, because 11221112001021 - 219 = 11221111476733 is a prime.

It is a super-4 number, since 4×112211120010214 (a number of 53 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11221112001061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16522666 + ... + 17188388.

It is an arithmetic number, because the mean of its divisors is an integer number (188981290960).

Almost surely, 211221112001021 is an apocalyptic number.

It is an amenable number.

11221112001021 is a deficient number, since it is larger than the sum of its proper divisors (6921091931139).

11221112001021 is a wasteful number, since it uses less digits than its factorization.

11221112001021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665847 (or 665824 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11221112001021 its reverse (12010021112211), we get a palindrome (23231133113232).

The spelling of 11221112001021 in words is "eleven trillion, two hundred twenty-one billion, one hundred twelve million, one thousand, twenty-one".

Divisors: 1 3 13 19 23 39 43 57 69 129 247 299 437 529 559 741 817 897 989 1311 1587 1677 2451 2967 5681 6877 10051 10621 12857 17043 18791 20631 22747 30153 31863 38571 56373 68241 130663 244283 295711 391989 432193 665723 732849 887133 1296579 1997169 5618509 8654399 12648737 15311629 16855527 25963197 28626089 37946211 45934887 85878267 164433581 199051177 290920951 352167467 372139157 493300743 543895691 597153531 658400047 872762853 1056502401 1116417471 1631687073 1975200141 3781972363 4578177071 6691181873 7070643983 8559200611 11345917089 12509600893 13734531213 15143201081 20073545619 21211931949 25677601833 37528802679 45429603243 86985364349 162624811609 196861614053 260956093047 287720820539 487874434827 590584842159 863162461617 3740370667007 11221112001021