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11203202241 = 3271143397947
BaseRepresentation
bin10100110111100001…
…10100110011000001
31001220202210122022100
422123300310303001
5140421004432431
65051403301013
7544424435130
oct123360646301
931822718270
1011203202241
114829a08730
122207b1a769
13109706336a
14783c87917
1545882c4e6
hex29bc34cc1

11203202241 has 96 divisors (see below), whose sum is σ = 20718517248. Its totient is φ = 5664193920.

The previous prime is 11203202173. The next prime is 11203202267. The reversal of 11203202241 is 14220230211.

It is a happy number.

11203202241 is a `hidden beast` number, since 1 + 120 + 320 + 224 + 1 = 666.

It is not a de Polignac number, because 11203202241 - 214 = 11203185857 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11203202291) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11829730 + ... + 11830676.

It is an arithmetic number, because the mean of its divisors is an integer number (215817888).

Almost surely, 211203202241 is an apocalyptic number.

11203202241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11203202241 is a deficient number, since it is larger than the sum of its proper divisors (9515315007).

11203202241 is a wasteful number, since it uses less digits than its factorization.

11203202241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1411 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 11203202241 its reverse (14220230211), we get a palindrome (25423432452).

It can be divided in two parts, 11203 and 202241, that added together give a square (213444 = 4622).

The spelling of 11203202241 in words is "eleven billion, two hundred three million, two hundred two thousand, two hundred forty-one".

Divisors: 1 3 7 9 11 21 33 43 63 77 99 129 231 301 387 397 473 693 903 947 1191 1419 2709 2779 2841 3311 3573 4257 4367 6629 8337 8523 9933 10417 13101 17071 19887 25011 29799 30569 31251 39303 40721 51213 59661 72919 91707 93753 119497 122163 153639 187781 218757 275121 285047 358491 366489 375959 447931 563343 656271 855141 1075473 1127877 1314467 1343793 1690029 2565423 2631713 3135517 3383631 3943401 4031379 4135549 7895139 9406551 11830203 12406647 16166237 23685417 28219653 28948843 37219941 48498711 86846529 113163659 145496133 177828607 260539587 339490977 533485821 1018472931 1244800249 1600457463 3734400747 11203202241