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200221112211102 = 232174758723716603
BaseRepresentation
bin101101100001100110011100…
…010001010001011010011110
3222020220221200120021012010100
4231201212130101101122132
5202220410314211223402
61545500150435321530
760113332545150423
oct5541463421213236
9866827616235110
10200221112211102
115888432a0a91a4
121a5582394502a6
138794a01520758
143762a799c7d4a
151823325c2871c
hexb6199c45169e

200221112211102 has 96 divisors (see below), whose sum is σ = 469902956769792. Its totient is φ = 61373253457152.

The previous prime is 200221112211101. The next prime is 200221112211121. The reversal of 200221112211102 is 201112211122002.

200221112211102 is a `hidden beast` number, since 20 + 0 + 221 + 112 + 211 + 102 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200221112211101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3416068 + ... + 20300535.

It is an arithmetic number, because the mean of its divisors is an integer number (4894822466352).

Almost surely, 2200221112211102 is an apocalyptic number.

200221112211102 is an abundant number, since it is smaller than the sum of its proper divisors (269681844558690).

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

200221112211102 is a wasteful number, since it uses less digits than its factorization.

200221112211102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23717262 (or 23717259 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 200221112211102 its reverse (201112211122002), we get a palindrome (401333323333104).

The spelling of 200221112211102 in words is "two hundred trillion, two hundred twenty-one billion, one hundred twelve million, two hundred eleven thousand, one hundred two".

Divisors: 1 2 3 6 9 17 18 34 47 51 94 102 141 153 282 306 423 587 799 846 1174 1598 1761 2397 3522 4794 5283 7191 9979 10566 14382 19958 27589 29937 55178 59874 82767 89811 165534 179622 248301 469013 496602 938026 1407039 2814078 4221117 8442234 23716603 47433206 71149809 142299618 213449427 403182251 426898854 806364502 1114680341 1209546753 2229360682 2419093506 3344041023 3628640259 6688082046 7257280518 10032123069 13921645961 18949565797 20064246138 27843291922 37899131594 41764937883 56848697391 83529875766 113697394782 125294813649 170546092173 236667981337 250589627298 341092184346 473335962674 654317360167 710003944011 1308634720334 1420007888022 1962952080501 2130011832033 3925904161002 4260023664066 5888856241503 11123395122839 11777712483006 22246790245678 33370185368517 66740370737034 100110556105551 200221112211102