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200214231200302 = 211377336740922447
BaseRepresentation
bin101101100001100000000010…
…001000010011001000101110
3222020220021221000102121211111
4231201200002020103020232
5202220302221141402202
61545453051551342234
760113000202422434
oct5541400210231056
9866807830377744
10200214231200302
1158881418a35a10
121a556a38b2197a
138794175a79627
1437625c5ba2d54
151823071ab56d7
hexb6180221322e

200214231200302 has 128 divisors (see below), whose sum is σ = 342868151623680. Its totient is φ = 86879078184960.

The previous prime is 200214231200273. The next prime is 200214231200309. The reversal of 200214231200302 is 203002132412002.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200214231200309) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 8919409243 + ... + 8919431689.

It is an arithmetic number, because the mean of its divisors is an integer number (2678657434560).

Almost surely, 2200214231200302 is an apocalyptic number.

200214231200302 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

200214231200302 is a deficient number, since it is larger than the sum of its proper divisors (142653920423378).

200214231200302 is a wasteful number, since it uses less digits than its factorization.

200214231200302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23346.

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 200214231200302 its reverse (203002132412002), we get a palindrome (403216363612304).

The spelling of 200214231200302 in words is "two hundred trillion, two hundred fourteen billion, two hundred thirty-one million, two hundred thousand, three hundred two".

Divisors: 1 2 11 22 37 73 74 146 367 407 409 734 803 814 818 1606 2701 4037 4499 5402 8074 8998 13579 15133 22447 26791 27158 29711 29857 30266 44894 53582 59422 59714 149369 150103 166463 246917 294701 298738 300206 328427 332926 493834 589402 656854 830539 991267 1104709 1638631 1651133 1661078 1982534 2209418 3277262 3302266 5553811 8238049 9135929 9180823 10903937 10957519 11107622 12151799 16476098 18024941 18271858 18361646 21807874 21915038 24303598 36049882 60629347 61091921 90618539 100989053 120532709 121258694 122183842 181237078 201978106 241065418 304807813 339690451 405428203 601377577 609615626 666922817 670200079 679380902 810856406 1202755154 1333845634 1340400158 3352885943 3369362041 3736594961 4459710233 6615153347 6705771886 6738724082 7372200869 7473189922 8919420466 13230306694 14744401738 22250970349 24797402923 37062982451 44501940698 49594805846 74125964902 124666395517 244760673839 245963428993 249332791034 272771432153 489521347678 491926857986 545542864306 1371330350687 2705597718923 2742660701374 5411195437846 9100646872741 18201293745482 100107115600151 200214231200302