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213412020214312 = 231031073433705073
BaseRepresentation
bin110000100001100011011011…
…101001111101101000101000
31000222121222201121212010000101
4300201203123221331220220
5210433020304133324222
62033520043441115144
762644336544164633
oct6041433351755050
91028558647763011
10213412020214312
1161aaa590853357
121bb28819928ab4
139210889976c7a
143a9b2a83acc1a
1519a150a534927
hexc218dba7da28

213412020214312 has 64 divisors (see below), whose sum is σ = 407927839063680. Its totient is φ = 104651817633792.

The previous prime is 213412020214303. The next prime is 213412020214369.

213412020214312 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 302328208 + ... + 303033280.

It is an arithmetic number, because the mean of its divisors is an integer number (6373872485370).

Almost surely, 2213412020214312 is an apocalyptic number.

It is an amenable number.

213412020214312 is a deficient number, since it is larger than the sum of its proper divisors (194515818849368).

213412020214312 is a wasteful number, since it uses less digits than its factorization.

213412020214312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708722 (or 708718 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The spelling of 213412020214312 in words is "two hundred thirteen trillion, four hundred twelve billion, twenty million, two hundred fourteen thousand, three hundred twelve".

Divisors: 1 2 4 8 103 107 206 214 412 428 824 856 3433 6866 11021 13732 22042 27464 44084 88168 353599 367331 705073 707198 734662 1410146 1414396 1469324 2820292 2828792 2938648 5640584 37835093 72622519 75442811 75670186 145245038 150885622 151340372 290490076 301771244 302680744 580980152 603542488 2420515609 4841031218 7770609533 9682062436 15541219066 19364124872 31082438132 62164876264 249313107727 258995170163 498626215454 517990340326 997252430908 1035980680652 1994504861816 2071961361304 26676502526789 53353005053578 106706010107156 213412020214312