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213404021012430 = 23357511052443759
BaseRepresentation
bin110000100001011011111110…
…110111011011011111001110
31000222121020002010221112221000
4300201123332313123133032
5210432402413334344210
62033512242010321130
762643634403120433
oct6041337667333716
91028536063845830
10213404021012430
1161aa7156480606
121bb27166a291a6
13920cbb3653211
143a9ab49c71b8a
1519a11dd145ac0
hexc216feddb7ce

213404021012430 has 64 divisors (see below), whose sum is σ = 569835149414400. Its totient is φ = 56831962932000.

The previous prime is 213404021012383. The next prime is 213404021012473. The reversal of 213404021012430 is 34210120404312.

213404021012430 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 0 + 4 + 0 + 210 + 12 + 430 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 213404021012394 and 213404021012403.

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, 526019110 + ... + 526424649.

It is an arithmetic number, because the mean of its divisors is an integer number (8903674209600).

Almost surely, 2213404021012430 is an apocalyptic number.

213404021012430 is an abundant number, since it is smaller than the sum of its proper divisors (356431128401970).

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

213404021012430 is a wasteful number, since it uses less digits than its factorization.

213404021012430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052444526 (or 1052444520 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 213404021012430 its reverse (34210120404312), we get a palindrome (247614141416742).

The spelling of 213404021012430 in words is "two hundred thirteen trillion, four hundred four billion, twenty-one million, twelve thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 751 1502 2253 3755 4506 6759 7510 11265 13518 20277 22530 33795 40554 67590 101385 202770 1052443759 2104887518 3157331277 5262218795 6314662554 9471993831 10524437590 15786656385 18943987662 28415981493 31573312770 47359969155 56831962986 94719938310 142079907465 284159814930 790385263009 1580770526018 2371155789027 3951926315045 4742311578054 7113467367081 7903852630090 11855778945135 14226934734162 21340402101243 23711557890270 35567336835405 42680804202486 71134673670810 106702010506215 213404021012430