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11003212320 = 2535107214237
BaseRepresentation
bin10100011111101011…
…11011001000100000
31001101211111002201020
422033311323020200
5140013310243240
65015501005440
7536445522132
oct121765731040
931354432636
1011003212320
114737032301
122170b53880
1310647b0829
147654a9052
15445ec60d0
hex28fd7b220

11003212320 has 96 divisors (see below), whose sum is σ = 34984208448. Its totient is φ = 2906754048.

The previous prime is 11003212301. The next prime is 11003212349. The reversal of 11003212320 is 2321230011.

11003212320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11003212320.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 55759 + ... + 158478.

It is an arithmetic number, because the mean of its divisors is an integer number (364418838).

Almost surely, 211003212320 is an apocalyptic number.

11003212320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11003212320 is an abundant number, since it is smaller than the sum of its proper divisors (23980996128).

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

11003212320 is a wasteful number, since it uses less digits than its factorization.

11003212320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214362 (or 214354 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 11003212320 its reverse (2321230011), we get a palindrome (13324442331).

The spelling of 11003212320 in words is "eleven billion, three million, two hundred twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 107 120 160 214 240 321 428 480 535 642 856 1070 1284 1605 1712 2140 2568 3210 3424 4280 5136 6420 8560 10272 12840 17120 25680 51360 214237 428474 642711 856948 1071185 1285422 1713896 2142370 2570844 3213555 3427792 4284740 5141688 6427110 6855584 8569480 10283376 12854220 17138960 20566752 22923359 25708440 34277920 45846718 51416880 68770077 91693436 102833760 114616795 137540154 183386872 229233590 275080308 343850385 366773744 458467180 550160616 687700770 733547488 916934360 1100321232 1375401540 1833868720 2200642464 2750803080 3667737440 5501606160 11003212320