Search a number
-
+
11001135150024 = 2339712857165233
BaseRepresentation
bin1010000000010110011011…
…0000001011001111001000
31102221200212000122021101220
42200011212300023033020
52420220311044300044
635221503545442040
72213543245614525
oct240054660131710
942850760567356
1011001135150024
113561611aa1a28
121298115aa0320
1361a530660b66
142a065a22414c
15141271185019
hexa0166c0b3c8

11001135150024 has 64 divisors (see below), whose sum is σ = 27540965183040. Its totient is φ = 3661964113920.

The previous prime is 11001135149971. The next prime is 11001135150029. The reversal of 11001135150024 is 42005153110011.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 11001135149976 and 11001135150003.

It is not an unprimeable number, because it can be changed into a prime (11001135150029) 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 15 ways as a sum of consecutive naturals, for example, 66496912 + ... + 66662144.

It is an arithmetic number, because the mean of its divisors is an integer number (430327580985).

Almost surely, 211001135150024 is an apocalyptic number.

It is an amenable number.

11001135150024 is an abundant number, since it is smaller than the sum of its proper divisors (16539830033016).

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

11001135150024 is a wasteful number, since it uses less digits than its factorization.

11001135150024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169070 (or 169066 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 24.

Adding to 11001135150024 its reverse (42005153110011), we get a palindrome (53006288260035).

The spelling of 11001135150024 in words is "eleven trillion, one billion, one hundred thirty-five million, one hundred fifty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 971 1942 2857 2913 3884 5714 5826 7768 8571 11428 11652 17142 22856 23304 34284 68568 165233 330466 495699 660932 991398 1321864 1982796 2774147 3965592 5548294 8322441 11096588 16644882 22193176 33289764 66579528 160441243 320882486 472070681 481323729 641764972 944141362 962647458 1283529944 1416212043 1888282724 1925294916 2832424086 3776565448 3850589832 5664848172 11329696344 458380631251 916761262502 1375141893753 1833522525004 2750283787506 3667045050008 5500567575012 11001135150024