Search a number
-
+
213122230130004 = 2231329201172341763
BaseRepresentation
bin110000011101010101100010…
…110100100001010101010100
31000221121021201122200112120220
4300131111202310201111110
5210413243311403130004
62033135000105554340
762614400353130316
oct6035254264412524
91027537648615526
10213122230130004
11619a86a2906908
121baa06237a59b0
1391bc4561821c0
143a8b2572337b6
151998be939add9
hexc1d562d21554

213122230130004 has 96 divisors (see below), whose sum is σ = 554032511867520. Its totient is φ = 63311652622848.

The previous prime is 213122230129987. The next prime is 213122230130039. The reversal of 213122230130004 is 400031032221312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89838427 + ... + 92180189.

It is an arithmetic number, because the mean of its divisors is an integer number (5771171998620).

Almost surely, 2213122230130004 is an apocalyptic number.

It is an amenable number.

213122230130004 is an abundant number, since it is smaller than the sum of its proper divisors (340910281737516).

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

213122230130004 is a wasteful number, since it uses less digits than its factorization.

213122230130004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2361929 (or 2361927 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 213122230130004 its reverse (400031032221312), we get a palindrome (613153262351316).

The spelling of 213122230130004 in words is "two hundred thirteen trillion, one hundred twenty-two billion, two hundred thirty million, one hundred thirty thousand, four".

Divisors: 1 2 3 4 6 12 13 26 29 39 52 58 78 87 116 156 174 348 377 754 1131 1508 2262 4524 20117 40234 60351 80468 120702 241404 261521 523042 583393 784563 1046084 1166786 1569126 1750179 2333572 2341763 3138252 3500358 4683526 7000716 7025289 7584109 9367052 14050578 15168218 22752327 28101156 30336436 30442919 45504654 60885838 67911127 91009308 91328757 121771676 135822254 182657514 203733381 271644508 365315028 407466762 814933524 882844651 1765689302 2648533953 3531378604 5297067906 10594135812 47109246271 94218492542 141327738813 188436985084 282655477626 565310955252 612420201523 1224840403046 1366168141859 1837260604569 2449680806092 2732336283718 3674521209138 4098504425577 5464672567436 7349042418276 8197008851154 16394017702308 17760185844167 35520371688334 53280557532501 71040743376668 106561115065002 213122230130004