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11055533300 = 22527137311503
BaseRepresentation
bin10100100101111011…
…00000110011110100
31001112110221021121022
422102331200303310
5140120204031200
65025010240312
7540652324340
oct122275406364
931473837538
1011055533300
114763618889
122186586098
13107259c4a6
1476c408620
1544a8ad885
hex292f60cf4

11055533300 has 72 divisors (see below), whose sum is σ = 27440077056. Its totient is φ = 3787378560.

The previous prime is 11055533231. The next prime is 11055533309. The reversal of 11055533300 is 333555011.

11055533300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×110555333003 (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11055533300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11055533309) by changing a digit.

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, 955349 + ... + 966851.

Almost surely, 211055533300 is an apocalyptic number.

11055533300 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 11055533300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13720038528).

11055533300 is an abundant number, since it is smaller than the sum of its proper divisors (16384543756).

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

11055533300 is a wasteful number, since it uses less digits than its factorization.

11055533300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12897 (or 12890 counting only the distinct ones).

The product of its (nonzero) digits is 3375, while the sum is 26.

The spelling of 11055533300 in words is "eleven billion, fifty-five million, five hundred thirty-three thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 1373 2746 5492 6865 9611 11503 13730 19222 23006 27460 34325 38444 46012 48055 57515 68650 80521 96110 115030 137300 161042 192220 230060 240275 287575 322084 402605 480550 575150 805210 961100 1150300 1610420 2013025 4026050 8052100 15793619 31587238 63174476 78968095 110555333 157936190 221110666 315872380 394840475 442221332 552776665 789680950 1105553330 1579361900 2211106660 2763883325 5527766650 11055533300