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11325150112240 = 2451719994165741
BaseRepresentation
bin1010010011001101011110…
…0011001010100111110000
31111002200012011221210011001
42210303113203022213300
52441022401412042430
640030411354531344
72246133530425246
oct244632743124760
944080164853131
1011325150112240
113676a72aa0838
12132aa81a36b54
13641c598c7183
142b21d6978796
151498d6cdd3ca
hexa4cd78ca9f0

11325150112240 has 80 divisors (see below), whose sum is σ = 27893808432000. Its totient is φ = 4261452042240.

The previous prime is 11325150112187. The next prime is 11325150112249. The reversal of 11325150112240 is 4221105152311.

11325150112240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 11325150112199 and 11325150112208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11325150112249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 635770 + ... + 4801510.

It is an arithmetic number, because the mean of its divisors is an integer number (348672605400).

Almost surely, 211325150112240 is an apocalyptic number.

11325150112240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11325150112240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13946904216000).

11325150112240 is an abundant number, since it is smaller than the sum of its proper divisors (16568658319760).

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

11325150112240 is a wasteful number, since it uses less digits than its factorization.

11325150112240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4167770 (or 4167764 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 28.

Adding to 11325150112240 its reverse (4221105152311), we get a palindrome (15546255264551).

The spelling of 11325150112240 in words is "eleven trillion, three hundred twenty-five billion, one hundred fifty million, one hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 1999 3998 7996 9995 15992 19990 31984 33983 39980 67966 79960 135932 159920 169915 271864 339830 543728 679660 1359320 2718640 4165741 8331482 16662964 20828705 33325928 41657410 66651856 70817597 83314820 141635194 166629640 283270388 333259280 354087985 566540776 708175970 1133081552 1416351940 2832703880 5665407760 8327316259 16654632518 33309265036 41636581295 66618530072 83273162590 133237060144 141564376403 166546325180 283128752806 333092650360 566257505612 666185300720 707821882015 1132515011224 1415643764030 2265030022448 2831287528060 5662575056120 11325150112240