Search a number
-
+
11001010001130 = 23254331709165181
BaseRepresentation
bin1010000000010101111101…
…0010110001010011101010
31102221200112022011001101200
42200011133102301103222
52420220032030014010
635221443315225030
72213540166100122
oct240053722612352
942850468131350
1011001010001130
113561558393796
12129809bba8176
1361a510753466
142a0647767c82
151412651b3cc0
hexa015f4b14ea

11001010001130 has 96 divisors (see below), whose sum is σ = 28685631658320. Its totient is φ = 2925097297920.

The previous prime is 11001010001081. The next prime is 11001010001131. The reversal of 11001010001130 is 3110001010011.

It can be written as a sum of positive squares in 8 ways, for example, as 3849455772009 + 7151554229121 = 1962003^2 + 2674239^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (11001010001131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66517140 + ... + 66682320.

Almost surely, 211001010001130 is an apocalyptic number.

11001010001130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11001010001130 is an abundant number, since it is smaller than the sum of its proper divisors (17684621657190).

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

11001010001130 is a wasteful number, since it uses less digits than its factorization.

11001010001130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167336 (or 167333 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 11001010001130 its reverse (3110001010011), we get a palindrome (14111011011141).

The spelling of 11001010001130 in words is "eleven trillion, one billion, ten million, one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 433 866 1299 1709 2165 2598 3418 3897 4330 5127 6495 7794 8545 10254 12990 15381 17090 19485 25635 30762 38970 51270 76905 153810 165181 330362 495543 739997 825905 991086 1479994 1486629 1651810 2219991 2477715 2973258 3699985 4439982 4955430 6659973 7399970 7433145 11099955 13319946 14866290 22199910 33299865 66599730 71523373 143046746 214570119 282294329 357616865 429140238 564588658 643710357 715233730 846882987 1072850595 1287420714 1411471645 1693765974 2145701190 2540648961 2822943290 3218551785 4234414935 5081297922 6437103570 8468829870 12703244805 25406489610 122233444457 244466888914 366700333371 611167222285 733400666742 1100101000113 1222334444570 1833501666855 2200202000226 3667003333710 5500505000565 11001010001130