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21213600134553 = 3228123977349841
BaseRepresentation
bin1001101001011001011010…
…00110011011010110011001
32210010000000021020000221100
410310230231012123112121
510240030423113301203
6113041220544502013
74316426533661661
oct464545506332631
983100007200840
1021213600134553
116839701269552
12246740791a909
13bab5843b5328
14534a5aad11a1
1526bc33a1aea3
hex134b2d19b599

21213600134553 has 24 divisors (see below), whose sum is σ = 30752283071016. Its totient is φ = 14091443251200.

The previous prime is 21213600134479. The next prime is 21213600134663. The reversal of 21213600134553 is 35543100631212.

21213600134553 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 3 + 600 + 1 + 3 + 45 + 5 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2476242137664 + 18737357996889 = 1573608^2 + 4328667^2 .

It is not a de Polignac number, because 21213600134553 - 214 = 21213600118169 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (21213600132553) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 60462913 + ... + 60812753.

It is an arithmetic number, because the mean of its divisors is an integer number (1281345127959).

Almost surely, 221213600134553 is an apocalyptic number.

It is an amenable number.

21213600134553 is a deficient number, since it is larger than the sum of its proper divisors (9538682936463).

21213600134553 is a wasteful number, since it uses less digits than its factorization.

21213600134553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374105 (or 374102 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 21213600134553 its reverse (35543100631212), we get a palindrome (56756700765765).

The spelling of 21213600134553 in words is "twenty-one trillion, two hundred thirteen billion, six hundred million, one hundred thirty-four thousand, five hundred fifty-three".

Divisors: 1 3 9 281 843 2529 23977 71931 215793 349841 1049523 3148569 6737537 20212611 60637833 98305321 294915963 884747889 8388137657 25164412971 75493238913 2357066681617 7071200044851 21213600134553