Search a number
-
+
200420430342 = 23112329076329
BaseRepresentation
bin1011101010100111111…
…1010001001000000110
3201011022122101202111120
42322221333101020012
511240430112232332
6232023305214410
720323414356306
oct2725177211006
9634278352446
10200420430342
1177aa81207a0
1232a14491406
1315b90464a22
1499b3c83606
15533032132c
hex2ea9fd1206

200420430342 has 96 divisors (see below), whose sum is σ = 457696068480. Its totient is φ = 58019660160.

The previous prime is 200420430337. The next prime is 200420430347. The reversal of 200420430342 is 243034024002.

200420430342 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (200420430337) and next prime (200420430347).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200420430347) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 31663834 + ... + 31670162.

It is an arithmetic number, because the mean of its divisors is an integer number (4767667380).

Almost surely, 2200420430342 is an apocalyptic number.

200420430342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 200420430342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228848034240).

200420430342 is an abundant number, since it is smaller than the sum of its proper divisors (257275638138).

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

200420430342 is a wasteful number, since it uses less digits than its factorization.

200420430342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7298 (or 7275 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 200420430342 its reverse (243034024002), we get a palindrome (443454454344).

The spelling of 200420430342 in words is "two hundred billion, four hundred twenty million, four hundred thirty thousand, three hundred forty-two".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 138 253 506 529 759 907 1058 1518 1587 1814 2721 3174 5442 5819 6329 9977 11638 12658 17457 18987 19954 20861 29931 34914 37974 41722 59862 62583 69619 125166 139238 145567 208857 229471 291134 417714 436701 458942 479803 688413 873402 959606 1376826 1439409 1601237 2878818 3202474 3348041 4803711 5277833 5740403 6696082 9607422 10044123 10555666 11480806 15833499 17221209 20088246 31666998 34442418 36828451 63144433 73656902 110485353 126288866 132029269 189433299 220970706 264058538 378866598 396087807 792175614 1452321959 2904643918 3036673187 4356965877 6073346374 8713931754 9110019561 18220039122 33403405057 66806810114 100210215171 200420430342