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10000200111201 = 3259612235472531
BaseRepresentation
bin1001000110000101101001…
…1000000001010001100001
31022102000021010202221210100
42101201122120001101201
52302320402212024301
633134010054053013
72051330165304006
oct221413230012141
938360233687710
1010000200111201
113206074292583
12115613294a169
13577026751311
1426802593d8ad
151251dc7c0286
hex9185a601461

10000200111201 has 96 divisors (see below), whose sum is σ = 15030677975040. Its totient is φ = 6403193596800.

The previous prime is 10000200111173. The next prime is 10000200111203. The reversal of 10000200111201 is 10211100200001.

It is a happy number.

It is not a de Polignac number, because 10000200111201 - 223 = 10000191722593 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10000200111203) 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, 3951085306 + ... + 3951087836.

It is an arithmetic number, because the mean of its divisors is an integer number (156569562240).

Almost surely, 210000200111201 is an apocalyptic number.

It is an amenable number.

10000200111201 is a deficient number, since it is larger than the sum of its proper divisors (5030477863839).

10000200111201 is a wasteful number, since it uses less digits than its factorization.

10000200111201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3427 (or 3424 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10000200111201 its reverse (10211100200001), we get a palindrome (20211300311202).

The spelling of 10000200111201 in words is "ten trillion, two hundred million, one hundred eleven thousand, two hundred one".

Divisors: 1 3 9 59 61 177 183 223 531 547 549 669 1641 2007 2531 3599 4923 7593 10797 13157 13603 22779 32273 32391 33367 39471 40809 96819 100101 118413 121981 122427 149329 154391 290457 300303 365943 447987 463173 564413 802577 1097829 1343961 1384457 1389519 1693239 1968653 2407731 4153371 5079717 5905959 7196879 7223193 7440841 9109069 12460113 17717877 21590637 22322523 27327207 33300367 34429193 64771911 66967569 81682963 81981621 84451877 99901101 103287579 245048889 253355631 299703303 308733911 309862737 439009619 735146667 760066893 926201733 1317028857 2031322387 2778605199 3951086571 4982660743 6093967161 14947982229 18215300749 18281901483 18832768571 44843946687 54645902247 56498305713 163937706741 169494917139 1111133345689 3333400037067 10000200111201