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200212012102102 = 2711131092994730637
BaseRepresentation
bin101101100001011101111101…
…110111000111000111010110
3222020220002012100210202101021
4231201131331313013013112
5202220233200044231402
61545452043440351354
760112561205411410
oct5541357567070726
9866802170722337
10200212012102102
115888048a351660
121a55651991555a
138793bb10bc180
1437624551939b0
151822e91d74d37
hexb6177ddc71d6

200212012102102 has 128 divisors (see below), whose sum is σ = 406950367380480. Its totient is φ = 71339019010560.

The previous prime is 200212012102093. The next prime is 200212012102111. The reversal of 200212012102102 is 201201210212002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (200212012102093) and next prime (200212012102111).

It is a super-4 number, since 4×2002120121021024 (a number of 58 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6534959128 + ... + 6534989764.

It is an arithmetic number, because the mean of its divisors is an integer number (3179299745160).

Almost surely, 2200212012102102 is an apocalyptic number.

200212012102102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

200212012102102 is an abundant number, since it is smaller than the sum of its proper divisors (206738355278378).

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

200212012102102 is a wasteful number, since it uses less digits than its factorization.

200212012102102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60726.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 200212012102102 its reverse (201201210212002), we get a palindrome (401413222314104).

The spelling of 200212012102102 in words is "two hundred trillion, two hundred twelve billion, twelve million, one hundred two thousand, one hundred two".

Divisors: 1 2 7 11 13 14 22 26 77 91 109 143 154 182 218 286 763 1001 1199 1417 1526 2002 2398 2834 8393 9919 15587 16786 19838 29947 30637 31174 59894 61274 109109 209629 214459 218218 329417 337007 389311 398281 419258 428918 658834 674014 778622 796562 2305919 2359049 2725177 2787967 3264223 3339433 4282421 4381091 4611838 4718098 5450354 5575934 6528446 6678866 8564842 8762182 22849561 23376031 29976947 30667637 35906453 36733763 42434899 43412629 45699122 46752062 59953894 61335274 71812906 73467526 84869798 86825258 251345171 257136341 297044293 303888403 466783889 477538919 502690342 514272682 594088586 607776806 917486239 933567778 955077838 1834972478 3267487223 3342772433 6422403673 6534974446 6685544866 10092348629 11927321107 12844807346 20184697258 23854642214 70646440403 83491247749 100006000051 131200532177 141292880806 166982495498 200012000102 262401064354 700042000357 918403725239 1100066000561 1300078000663 1400084000714 1836807450478 2200132001122 2600156001326 7700462003927 9100546004641 14300858007293 15400924007854 18201092009282 28601716014586 100106006051051 200212012102102