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11055313200 = 2435217835167
BaseRepresentation
bin10100100101111001…
…01011000100110000
31001112110112002200110
422102330223010300
5140120130010300
65025001421320
7540650416551
oct122274530460
931473462613
1011055313200
114763488488
12218649a840
131072523259
1476c38c328
1544a868550
hex292f2b130

11055313200 has 120 divisors (see below), whose sum is σ = 35440572928. Its totient is φ = 2945859840.

The previous prime is 11055313187. The next prime is 11055313207. The reversal of 11055313200 is 231355011.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (11055313207) 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, 2137017 + ... + 2142183.

Almost surely, 211055313200 is an apocalyptic number.

11055313200 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 11055313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17720286464).

11055313200 is an abundant number, since it is smaller than the sum of its proper divisors (24385259728).

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

11055313200 is a wasteful number, since it uses less digits than its factorization.

11055313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6971 (or 6960 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

Adding to 11055313200 its reverse (231355011), we get a palindrome (11286668211).

It can be divided in two parts, 110553 and 13200, that added together give a triangular number (123753 = T497).

The spelling of 11055313200 in words is "eleven billion, fifty-five million, three hundred thirteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 1783 3566 5167 5349 7132 8915 10334 10698 14264 15501 17830 20668 21396 25835 26745 28528 31002 35660 41336 42792 44575 51670 53490 62004 71320 77505 82672 85584 89150 103340 106980 124008 129175 133725 142640 155010 178300 206680 213960 248016 258350 267450 310020 356600 387525 413360 427920 516700 534900 620040 713200 775050 1033400 1069800 1240080 1550100 2066800 2139600 3100200 6200400 9212761 18425522 27638283 36851044 46063805 55276566 73702088 92127610 110553132 138191415 147404176 184255220 221106264 230319025 276382830 368510440 442212528 460638050 552765660 690957075 737020880 921276100 1105531320 1381914150 1842552200 2211062640 2763828300 3685104400 5527656600 11055313200