Search a number
-
+
200133012200004 = 2232131725154978909
BaseRepresentation
bin101101100000010100011001…
…000110011001101001000100
3222020121112021201112220210100
4231200110121012121221010
5202212434402110400004
61545351500410324100
760104063416336212
oct5540243106315104
9866545251486710
10200133012200004
115884aa2aa25974
121a543150a29630
138789601229c80
14375c6bd18dcb2
151820dbb5a6739
hexb60519199a44

200133012200004 has 72 divisors (see below), whose sum is σ = 576853976364120. Its totient is φ = 57957071404032.

The previous prime is 200133012199997. The next prime is 200133012200059. The reversal of 200133012200004 is 400002210331002.

It can be written as a sum of positive squares in 4 ways, for example, as 16679722500 + 200116332477504 = 129150^2 + 14146248^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 200133012200004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12577481499 + ... + 12577497410.

It is an arithmetic number, because the mean of its divisors is an integer number (8011860782835).

Almost surely, 2200133012200004 is an apocalyptic number.

It is an amenable number.

200133012200004 is an abundant number, since it is smaller than the sum of its proper divisors (376720964164116).

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

200133012200004 is a wasteful number, since it uses less digits than its factorization.

200133012200004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25154978949 (or 25154978944 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 200133012200004 its reverse (400002210331002), we get a palindrome (600135222531006).

The spelling of 200133012200004 in words is "two hundred trillion, one hundred thirty-three billion, twelve million, two hundred thousand, four".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 102 117 153 156 204 221 234 306 442 468 612 663 884 1326 1989 2652 3978 7956 25154978909 50309957818 75464936727 100619915636 150929873454 226394810181 301859746908 327014725817 427634641453 452789620362 654029451634 855269282906 905579240724 981044177451 1282903924359 1308058903268 1710538565812 1962088354902 2565807848718 2943132532353 3848711773077 3924176709804 5131615697436 5559250338889 5886265064706 7697423546154 11118500677778 11772530129412 15394847092308 16677751016667 22237001355556 33355502033334 50033253050001 66711004066668 100066506100002 200133012200004