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11211100330 = 2517612294721
BaseRepresentation
bin10100111000011101…
…11101000010101010
31001221022122220110011
422130032331002222
5140430020202310
65052244442134
7544551531463
oct123416750252
931838586404
1011211100330
114833412681
12220a6a934a
13109889a2a1
14784d41d6a
1545938c78a
hex29c3bd0aa

11211100330 has 64 divisors (see below), whose sum is σ = 21816773280. Its totient is φ = 4132454400.

The previous prime is 11211100321. The next prime is 11211100331. The reversal of 11211100330 is 3300111211.

11211100330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 2102497609 + 9108602721 = 45853^2 + 95439^2 .

It is a super-2 number, since 2×112111003302 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11211100330.

It is not an unprimeable number, because it can be changed into a prime (11211100331) 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 31 ways as a sum of consecutive naturals, for example, 2372370 + ... + 2377090.

Almost surely, 211211100330 is an apocalyptic number.

11211100330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11211100330 is a deficient number, since it is larger than the sum of its proper divisors (10605672950).

11211100330 is a wasteful number, since it uses less digits than its factorization.

11211100330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5035.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 11211100330 its reverse (3300111211), we get a palindrome (14511211541).

The spelling of 11211100330 in words is "eleven billion, two hundred eleven million, one hundred thousand, three hundred thirty".

Divisors: 1 2 5 10 17 34 61 85 122 170 229 305 458 610 1037 1145 2074 2290 3893 4721 5185 7786 9442 10370 13969 19465 23605 27938 38930 47210 69845 80257 139690 160514 237473 287981 401285 474946 575962 802570 1081109 1187365 1439905 2162218 2374730 2879810 4895677 5405545 9791354 10811090 18378853 24478385 36757706 48956770 65947649 91894265 131895298 183788530 329738245 659476490 1121110033 2242220066 5605550165 11211100330