Search a number
-
+
1130121103200 = 253523712726589
BaseRepresentation
bin10000011100100000011…
…101111000011101100000
311000001001002020100110120
4100130200131320131200
5122003442000300300
62223100453200240
7144435311610645
oct20344035703540
94001032210416
101130121103200
113a631099a711
12163037330080
138275429246b
143c9aba37dcc
151e5e504c3a0
hex10720778760

1130121103200 has 144 divisors (see below), whose sum is σ = 3777964601040. Its totient is φ = 293220587520.

The previous prime is 1130121103193. The next prime is 1130121103249. The reversal of 1130121103200 is 23011210311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1130121103200.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 6274495 + ... + 6452094.

It is an arithmetic number, because the mean of its divisors is an integer number (26235865285).

Almost surely, 21130121103200 is an apocalyptic number.

1130121103200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1130121103200 is an abundant number, since it is smaller than the sum of its proper divisors (2647843497840).

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

1130121103200 is a wasteful number, since it uses less digits than its factorization.

1130121103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12726649 (or 12726636 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1130121103200 its reverse (23011210311), we get a palindrome (1153132313511).

It can be divided in two parts, 1130121 and 103200, that added together give a palindrome (1233321).

The spelling of 1130121103200 in words is "one trillion, one hundred thirty billion, one hundred twenty-one million, one hundred three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 37 40 48 50 60 74 75 80 96 100 111 120 148 150 160 185 200 222 240 296 300 370 400 444 480 555 592 600 740 800 888 925 1110 1184 1200 1480 1776 1850 2220 2400 2775 2960 3552 3700 4440 5550 5920 7400 8880 11100 14800 17760 22200 29600 44400 88800 12726589 25453178 38179767 50906356 63632945 76359534 101812712 127265890 152719068 190898835 203625424 254531780 305438136 318164725 381797670 407250848 470883793 509063560 610876272 636329450 763595340 941767586 954494175 1018127120 1221752544 1272658900 1412651379 1527190680 1883535172 1908988350 2036254240 2354418965 2545317800 2825302758 3054381360 3767070344 3817976700 4708837930 5090635600 5650605516 6108762720 7063256895 7534140688 7635953400 9417675860 10181271200 11301211032 11772094825 14126513790 15068281376 15271906800 18835351720 22602422064 23544189650 28253027580 30543813600 35316284475 37670703440 45204844128 47088379300 56506055160 70632568950 75341406880 94176758600 113012110320 141265137900 188353517200 226024220640 282530275800 376707034400 565060551600 1130121103200