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1134102255200 = 255271101197689
BaseRepresentation
bin10000100000001101110…
…000110001011001100000
311000102022112110211022122
4100200031300301121200
5122040120134131300
62224555511123412
7144636053054045
oct20401560613140
94012275424278
101134102255200
113a7a74180082
12163968673568
1382c3a014bc5
143cc686831cc
151e7797ecc85
hex1080dc31660

1134102255200 has 144 divisors (see below), whose sum is σ = 2835434458080. Its totient is φ = 442821120000.

The previous prime is 1134102255197. The next prime is 1134102255203. The reversal of 1134102255200 is 25522014311.

It is an interprime number because it is at equal distance from previous prime (1134102255197) and next prime (1134102255203).

It is a self number, because there is not a number n which added to its sum of digits gives 1134102255200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1134102255203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5637956 + ... + 5835644.

It is an arithmetic number, because the mean of its divisors is an integer number (19690517070).

Almost surely, 21134102255200 is an apocalyptic number.

1134102255200 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 1134102255200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1417717229040).

1134102255200 is an abundant number, since it is smaller than the sum of its proper divisors (1701332202880).

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

1134102255200 is a wasteful number, since it uses less digits than its factorization.

1134102255200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197881 (or 197868 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

Adding to 1134102255200 its reverse (25522014311), we get a palindrome (1159624269511).

The spelling of 1134102255200 in words is "one trillion, one hundred thirty-four billion, one hundred two million, two hundred fifty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 71 80 100 101 142 160 200 202 284 355 400 404 505 568 710 800 808 1010 1136 1420 1616 1775 2020 2272 2525 2840 3232 3550 4040 5050 5680 7100 7171 8080 10100 11360 14200 14342 16160 20200 28400 28684 35855 40400 56800 57368 71710 80800 114736 143420 179275 197689 229472 286840 358550 395378 573680 717100 790756 988445 1147360 1434200 1581512 1976890 2868400 3163024 3953780 4942225 5736800 6326048 7907560 9884450 14035919 15815120 19768900 19966589 28071838 31630240 39537800 39933178 56143676 70179595 79075600 79866356 99832945 112287352 140359190 158151200 159732712 199665890 224574704 280718380 319465424 350897975 399331780 449149408 499164725 561436760 638930848 701795950 798663560 998329450 1122873520 1403591900 1417627819 1597327120 1996658900 2245747040 2807183800 2835255638 3194654240 3993317800 5614367600 5670511276 7088139095 7986635600 11228735200 11341022552 14176278190 15973271200 22682045104 28352556380 35440695475 45364090208 56705112760 70881390950 113410225520 141762781900 226820451040 283525563800 567051127600 1134102255200