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213200023400430 = 235111039716459767
BaseRepresentation
bin110000011110011101111111…
…101010010010111111101110
31000221212201112012110010200220
4300132131333222102333232
5210421032121442303210
62033234423313432210
762623123221044103
oct6036357752227756
91027781465403626
10213200023400430
1161a28693107340
121bab371456b666
1391c68a306a571
143a90d16c9caaa
15199ac4dc6dc70
hexc1e77fa92fee

213200023400430 has 128 divisors (see below), whose sum is σ = 564196343832576. Its totient is φ = 51130339843200.

The previous prime is 213200023400383. The next prime is 213200023400519. The reversal of 213200023400430 is 34004320002312.

It is a self number, because there is not a number n which added to its sum of digits gives 213200023400430.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29774407 + ... + 36234173.

It is an arithmetic number, because the mean of its divisors is an integer number (4407783936192).

Almost surely, 2213200023400430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213200023400430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282098171916288).

213200023400430 is an abundant number, since it is smaller than the sum of its proper divisors (350996320432146).

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

213200023400430 is a wasteful number, since it uses less digits than its factorization.

213200023400430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6460862.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 213200023400430 its reverse (34004320002312), we get a palindrome (247204343402742).

The spelling of 213200023400430 in words is "two hundred thirteen trillion, two hundred billion, twenty-three million, four hundred thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 103 110 165 206 309 330 515 618 971 1030 1133 1545 1942 2266 2913 3090 3399 4855 5665 5826 6798 9710 10681 11330 14565 16995 21362 29130 32043 33990 53405 64086 100013 106810 160215 200026 300039 320430 500065 600078 1000130 1100143 1500195 2200286 3000390 3300429 5500715 6459767 6600858 11001430 12919534 16502145 19379301 32298835 33004290 38758602 64597670 71057437 96896505 142114874 193793010 213172311 355287185 426344622 665356001 710574370 1065861555 1330712002 1996068003 2131723110 3326780005 3992136006 6272433757 6653560010 7318916011 9980340015 12544867514 14637832022 18817301271 19960680030 21956748033 31362168785 36594580055 37634602542 43913496066 62724337570 68996771327 73189160110 94086506355 109783740165 137993542654 188173012710 206990313981 219567480330 344983856635 413980627962 646060676971 689967713270 1034951569905 1292121353942 1938182030913 2069903139810 3230303384855 3876364061826 6460606769710 7106667446681 9690910154565 14213334893362 19381820309130 21320002340043 35533337233405 42640004680086 71066674466810 106600011700215 213200023400430