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11002033300 = 22523116672129
BaseRepresentation
bin10100011111100010…
…11011010010010100
31001101202021012101211
422033301123102110
5140013010031200
65015415431204
7536432511556
oct121761332224
931352235354
1011002033300
1147363a7505
122170685504
131064489c9b
1476527d4d6
15445d41aba
hex28fc5b494

11002033300 has 72 divisors (see below), whose sum is σ = 24670920960. Its totient is φ = 4254297600.

The previous prime is 11002033243. The next prime is 11002033309. The reversal of 11002033300 is 333020011.

11002033300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11002033309) 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, 5166636 + ... + 5168764.

It is an arithmetic number, because the mean of its divisors is an integer number (342651680).

Almost surely, 211002033300 is an apocalyptic number.

11002033300 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 11002033300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12335460480).

11002033300 is an abundant number, since it is smaller than the sum of its proper divisors (13668887660).

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

11002033300 is a wasteful number, since it uses less digits than its factorization.

11002033300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3841 (or 3834 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 11002033300 its reverse (333020011), we get a palindrome (11335053311).

The spelling of 11002033300 in words is "eleven billion, two million, thirty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 620 775 1550 1667 2129 3100 3334 4258 6668 8335 8516 10645 16670 21290 33340 41675 42580 51677 53225 65999 83350 103354 106450 131998 166700 206708 212900 258385 263996 329995 516770 659990 1033540 1291925 1319980 1649975 2583850 3299950 3549043 5167700 6599900 7098086 14196172 17745215 35490430 70980860 88726075 110020333 177452150 220040666 354904300 440081332 550101665 1100203330 2200406660 2750508325 5501016650 11002033300