Search a number
-
+
11320030302030 = 23251133533153203
BaseRepresentation
bin1010010010111010011001…
…1000101000111101001110
31111002011222101010110212200
42210232212120220331032
52440431410224131110
640024203343342330
72245562621650002
oct244564630507516
944064871113780
1011320030302030
113674885aa162a
121329a932b19a6
13641621ca9b88
142b1c6ca0a702
151496d75bc6c0
hexa4ba6628f4e

11320030302030 has 96 divisors (see below), whose sum is σ = 29776663946016. Its totient is φ = 2983484055552.

The previous prime is 11320030302023. The next prime is 11320030302083. The reversal of 11320030302030 is 3020303002311.

11320030302030 is a `hidden beast` number, since 11 + 320 + 0 + 3 + 0 + 302 + 0 + 30 = 666.

11320030302030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11320030301994 and 11320030302012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2013409 + ... + 5166611.

It is an arithmetic number, because the mean of its divisors is an integer number (310173582771).

Almost surely, 211320030302030 is an apocalyptic number.

11320030302030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11320030302030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14888331973008).

11320030302030 is an abundant number, since it is smaller than the sum of its proper divisors (18456633643986).

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

11320030302030 is a wasteful number, since it uses less digits than its factorization.

11320030302030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3153682 (or 3153679 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 11320030302030 its reverse (3020303002311), we get a palindrome (14340333304341).

The spelling of 11320030302030 in words is "eleven trillion, three hundred twenty billion, thirty million, three hundred two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 113 226 339 353 565 678 706 1017 1059 1130 1695 1765 2034 2118 3177 3390 3530 5085 5295 6354 10170 10590 15885 31770 39889 79778 119667 199445 239334 359001 398890 598335 718002 1196670 1795005 3153203 3590010 6306406 9459609 15766015 18919218 28378827 31532030 47298045 56757654 94596090 141894135 283788270 356311939 712623878 1068935817 1113080659 1781559695 2137871634 2226161318 3206807451 3339241977 3563119390 5344679085 5565403295 6413614902 6678483954 10017725931 10689358170 11130806590 16034037255 16696209885 20035451862 32068074510 33392419770 50088629655 100177259310 125778114467 251556228934 377334343401 628890572335 754668686802 1132003030203 1257781144670 1886671717005 2264006060406 3773343434010 5660015151015 11320030302030