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200212101212002 = 211219210187725873
BaseRepresentation
bin101101100001011110000011…
…001011000010011101100010
3222020220002102120111000011221
4231201132003023002131202
5202220233340402241002
61545452100342325254
760112563340006135
oct5541360313023542
9866802376430157
10200212101212002
1158880525685200
121a55654372982a
138793bc66bbc19
143762462d4c21c
151822e99ac7c37
hexb617832c2762

200212101212002 has 144 divisors (see below), whose sum is σ = 352254161754936. Its totient is φ = 85261486464000.

The previous prime is 200212101211973. The next prime is 200212101212033.

It is a happy number.

200212101212002 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 198956695250401 + 1255405961601 = 14105201^2 + 1120449^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7738250938 + ... + 7738276810.

Almost surely, 2200212101212002 is an apocalyptic number.

200212101212002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

200212101212002 is a deficient number, since it is larger than the sum of its proper divisors (152042060542934).

200212101212002 is a wasteful number, since it uses less digits than its factorization.

200212101212002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26913 (or 26883 counting only the distinct ones).

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

It can be divided in two parts, 20021210 and 1212002, that added together give a palindrome (21233212).

The spelling of 200212101212002 in words is "two hundred trillion, two hundred twelve billion, one hundred one million, two hundred twelve thousand, two".

Divisors: 1 2 11 19 22 38 101 121 202 209 242 361 418 722 877 1111 1754 1919 2222 2299 3838 3971 4598 7942 9647 12221 16663 19294 21109 24442 25873 33326 36461 42218 43681 51746 72922 87362 88577 106117 177154 183293 212234 232199 284603 316597 366586 401071 464398 491587 569206 633194 802142 974347 983174 1682963 1948694 2016223 2613173 3130633 3365926 3482567 4032446 4411781 5226346 5407457 6261266 6965134 8823562 9340153 10717817 10814914 18512593 18680306 21435634 22690621 28744903 31976297 37025186 38308237 45381242 49650287 57489806 59482027 63952594 76616474 99300574 102741683 118964054 203638523 205483366 249596831 316193933 351739267 407277046 431121799 499193662 546153157 632387866 703478534 862243598 943355453 1092306314 1130158513 1886710906 2260317026 2291752721 2745565141 3869131937 4583505442 4742339789 5491130282 6007684727 7738263874 8191314181 9484679578 10376909983 12015369454 16382628362 20753819966 25209279931 43543301699 50418559862 52165737679 87086603398 90104455991 104331475358 114146009813 180208911982 228292019626 277302079241 478976318689 554604158482 827322732281 957952637378 991149015901 1654645464562 1982298031802 5268739505579 9100550055091 10537479011158 18201100110182 100106050606001 200212101212002