Search a number
-
+
11044331430110 = 2511312173603917
BaseRepresentation
bin1010000010110111010101…
…1100111010000011011110
31110002211100110001122220022
42200231311130322003132
52421422242321230420
635253410143552142
72216632554133256
oct240556534720336
943084313048808
1011044331430110
113578969192560
1212a45702bb652
1362162597b9c4
142a27970cc966
1514244d582c25
hexa0b7573a0de

11044331430110 has 96 divisors (see below), whose sum is σ = 22538770533216. Its totient is φ = 3864096134400.

The previous prime is 11044331430103. The next prime is 11044331430113. The reversal of 11044331430110 is 1103413344011.

It is a super-2 number, since 2×110443314301102 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 11044331430110.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11044331430113) 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 47 ways as a sum of consecutive naturals, for example, 17985872 + ... + 18589788.

It is an arithmetic number, because the mean of its divisors is an integer number (234778859721).

Almost surely, 211044331430110 is an apocalyptic number.

11044331430110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11044331430110 is an abundant number, since it is smaller than the sum of its proper divisors (11494439103106).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11044331430110 is a wasteful number, since it uses less digits than its factorization.

11044331430110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604170 (or 604139 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 11044331430110 its reverse (1103413344011), we get a palindrome (12147744774121).

The spelling of 11044331430110 in words is "eleven trillion, forty-four billion, three hundred thirty-one million, four hundred thirty thousand, one hundred ten".

Divisors: 1 2 5 10 11 22 31 55 62 110 155 173 310 341 346 682 865 961 1705 1730 1903 1922 3410 3806 4805 5363 9515 9610 10571 10726 19030 21142 26815 52855 53630 58993 105710 117986 166253 294965 332506 589930 603917 831265 1207834 1662530 1828783 3019585 3657566 6039170 6643087 9143915 13286174 18287830 18721427 33215435 37442854 66430870 93607135 104477641 187214270 205935697 208955282 411871394 522388205 580364237 1029678485 1044776410 1149254051 1160728474 2059356970 2298508102 2901821185 3238806871 5746270255 5803642370 6384006607 6477613742 11492540510 12768013214 16194034355 31920033035 32388068710 35626875581 63840066070 71253751162 100403013001 178134377905 200806026002 356268755810 502015065005 1004030130010 1104433143011 2208866286022 5522165715055 11044331430110