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213131123314434 = 23313254773426383
BaseRepresentation
bin110000011101011101110100…
…111001010100111100000010
31000221122010200102210010012000
4300131131310321110330002
5210413420020032030214
62033143030353444430
762615133631011603
oct6035356471247402
91027563612703160
10213131123314434
1161a01446880a06
121baa22a5b70716
1391c0242773700
143a8b85c3a1daa
151999069ec8809
hexc1d774e54f02

213131123314434 has 96 divisors (see below), whose sum is σ = 512870468463360. Its totient is φ = 65577456090432.

The previous prime is 213131123314409. The next prime is 213131123314453. The reversal of 213131123314434 is 434413321131312.

213131123314434 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 311 + 2 + 331 + 4 + 4 + 3 + 4 = 666.

213131123314434 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 499645207 + ... + 500071589.

It is an arithmetic number, because the mean of its divisors is an integer number (5342400713160).

Almost surely, 2213131123314434 is an apocalyptic number.

213131123314434 is an abundant number, since it is smaller than the sum of its proper divisors (299739345148926).

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

213131123314434 is a wasteful number, since it uses less digits than its factorization.

213131123314434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481193 (or 481174 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

Adding to 213131123314434 its reverse (434413321131312), we get a palindrome (647544444445746).

The spelling of 213131123314434 in words is "two hundred thirteen trillion, one hundred thirty-one billion, one hundred twenty-three million, three hundred fourteen thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 169 234 338 351 507 702 1014 1521 3042 4563 9126 54773 109546 164319 328638 426383 492957 712049 852766 985914 1279149 1424098 1478871 2136147 2558298 2957742 3837447 4272294 5542979 6408441 7674894 9256637 11085958 11512341 12816882 16628937 18513274 19225323 23024682 27769911 33257874 38450646 49886811 55539822 72058727 83309733 99773622 144117454 149660433 166619466 216176181 249929199 299320866 432352362 499858398 648528543 1297057086 1945585629 3891171258 23354276059 46708552118 70062828177 140125656354 210188484531 303605588767 420376969062 607211177534 630565453593 910816766301 1261130907186 1821633532602 2732450298903 3946872653971 5464900597806 7893745307942 8197350896709 11840617961913 16394701793418 23681235923826 35521853885739 71043707771478 106565561657217 213131123314434