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213004312410 = 23529881277903
BaseRepresentation
bin1100011001100000001…
…0111101111101011010
3202100210122012012110210
43012120002331331122
511442213100444120
6241504113351550
721250305532161
oct3063002757532
9670718165423
10213004312410
118237542162a
12353468685b6
13171175709a6
14a4492503d8
155819e78ce0
hex31980bdf5a

213004312410 has 64 divisors (see below), whose sum is σ = 529440468480. Its totient is φ = 54780042240.

The previous prime is 213004312387. The next prime is 213004312427. The reversal of 213004312410 is 14213400312.

213004312410 is digitally balanced in base 3, 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 31 ways as a sum of consecutive naturals, for example, 627519 + ... + 905421.

It is an arithmetic number, because the mean of its divisors is an integer number (8272507320).

Almost surely, 2213004312410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213004312410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264720234240).

213004312410 is an abundant number, since it is smaller than the sum of its proper divisors (316436156070).

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

213004312410 is a wasteful number, since it uses less digits than its factorization.

213004312410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278823.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 213004312410 its reverse (14213400312), we get a palindrome (227217712722).

The spelling of 213004312410 in words is "two hundred thirteen billion, four million, three hundred twelve thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 290 435 870 881 1762 2643 4405 5286 8810 13215 25549 26430 51098 76647 127745 153294 255490 277903 383235 555806 766470 833709 1389515 1667418 2779030 4168545 8059187 8337090 16118374 24177561 40295935 48355122 80591870 120887805 241775610 244832543 489665086 734497629 1224162715 1468995258 2448325430 3672488145 7100143747 7344976290 14200287494 21300431241 35500718735 42600862482 71001437470 106502156205 213004312410