Search a number
-
+
203312443322034 = 2321931105407181931
BaseRepresentation
bin101110001110100101011101…
…111101100110111010110010
3222122212110221202010121121200
4232032211131331212322302
5203122032340442301114
62000224240321432030
760552560610065124
oct5616453575467262
9878773852117550
10203312443322034
1159866360a02342
121a977391a9b616
13895a386881417
14382c5364bb214
1518789535d2409
hexb8e95df66eb2

203312443322034 has 96 divisors (see below), whose sum is σ = 478660122869760. Its totient is φ = 62131903999200.

The previous prime is 203312443322029. The next prime is 203312443322041. The reversal of 203312443322034 is 430223344213302.

203312443322034 is a `hidden beast` number, since 2 + 0 + 3 + 3 + 1 + 2 + 443 + 3 + 2 + 203 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 203312443322034.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1117434049 + ... + 1117615979.

It is an arithmetic number, because the mean of its divisors is an integer number (4986042946560).

Almost surely, 2203312443322034 is an apocalyptic number.

203312443322034 is an abundant number, since it is smaller than the sum of its proper divisors (275347679547726).

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

203312443322034 is a wasteful number, since it uses less digits than its factorization.

203312443322034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287396 (or 287393 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 203312443322034 its reverse (430223344213302), we get a palindrome (633535787535336).

The spelling of 203312443322034 in words is "two hundred three trillion, three hundred twelve billion, four hundred forty-three million, three hundred twenty-two thousand, thirty-four".

Divisors: 1 2 3 6 9 18 19 31 38 57 62 93 114 171 186 279 342 558 589 1178 1767 3534 5301 10602 105407 181931 210814 316221 363862 545793 632442 948663 1091586 1637379 1897326 2002733 3267617 3274758 3456689 4005466 5639861 6008199 6535234 6913378 9802851 10370067 11279722 12016398 16919583 18024597 19605702 20740134 29408553 31110201 33839166 36049194 50758749 58817106 62084723 62220402 101517498 107157359 124169446 186254169 214314718 321472077 372508338 558762507 642944154 964416231 1117525014 1928832462 19176800917 38353601834 57530402751 115060805502 172591208253 345182416506 364359217423 594480828427 728718434846 1093077652269 1188961656854 1783442485281 2186155304538 3279232956807 3566884970562 5350327455843 6558465913614 10700654911686 11295135740113 22590271480226 33885407220339 67770814440678 101656221661017 203312443322034