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200120221002 = 231317237192419
BaseRepresentation
bin1011101001100000011…
…0000011110101001010
3201010112201111112201010
42322120012003311022
511234321234033002
6231533422504350
720313110545362
oct2723006036512
9633481445633
10200120221002
1177963713aa9
123294ba350b6
1315b431c2870
1499860579a2
155313cc046c
hex2e98183d4a

200120221002 has 128 divisors (see below), whose sum is σ = 482938122240. Its totient is φ = 54652308480.

The previous prime is 200120220947. The next prime is 200120221061. The reversal of 200120221002 is 200122021002.

It is an unprimeable number.

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, 2119149 + ... + 2211567.

It is an arithmetic number, because the mean of its divisors is an integer number (3772954080).

Almost surely, 2200120221002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200120221002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241469061120).

200120221002 is an abundant number, since it is smaller than the sum of its proper divisors (282817901238).

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

200120221002 is a wasteful number, since it uses less digits than its factorization.

200120221002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92548.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 200120221002 its reverse (200122021002), we get a palindrome (400242242004).

The spelling of 200120221002 in words is "two hundred billion, one hundred twenty million, two hundred twenty-one thousand, two".

Divisors: 1 2 3 6 13 17 23 26 34 39 46 51 69 71 78 102 138 142 213 221 299 391 426 442 598 663 782 897 923 1173 1207 1326 1633 1794 1846 2346 2414 2769 3266 3621 4899 5083 5538 7242 9798 10166 15249 15691 21229 27761 30498 31382 42458 47073 55522 63687 83283 92419 94146 127374 166566 184838 277257 360893 554514 721786 1082679 1201447 1571123 2125637 2165358 2402894 3142246 3604341 4251274 4713369 6376911 6561749 7208682 9426738 12753822 13123498 19685247 20424599 27633281 36135829 39370494 40849198 55266562 61273797 72271658 82899843 85302737 108407487 111549733 122547594 150920227 165799686 170605474 216814974 223099466 255908211 301840454 334649199 452760681 469765777 511816422 669298398 905521362 939531554 1409297331 1450146529 1961962951 2565643859 2818594662 2900293058 3923925902 4350439587 5131287718 5885888853 7696931577 8700879174 11771777706 15393863154 33353370167 66706740334 100060110501 200120221002