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21213231311232 = 273271568945589
BaseRepresentation
bin1001101001011000101110…
…00111011110100110000000
32210002222001120012212110100
410310230113013132212000
510240024144203424412
6113041120211402400
74316414435016222
oct464542707364600
983088046185410
1021213231311232
116839532058094
1224673242b3400
13bab525b6b48c
14534a23b24412
1526bc11464edc
hex134b171de980

21213231311232 has 192 divisors, whose sum is σ = 61915286628000. Its totient is φ = 6970106142720.

The previous prime is 21213231311213. The next prime is 21213231311273. The reversal of 21213231311232 is 23211313231212.

21213231311232 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 323 + 1 + 311 + 23 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 21213231311196 and 21213231311205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 465291894 + ... + 465337482.

Almost surely, 221213231311232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21213231311232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30957643314000).

21213231311232 is an abundant number, since it is smaller than the sum of its proper divisors (40702055316768).

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

21213231311232 is a wasteful number, since it uses less digits than its factorization.

21213231311232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51369 (or 51354 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

Adding to 21213231311232 its reverse (23211313231212), we get a palindrome (44424544542444).

The spelling of 21213231311232 in words is "twenty-one trillion, two hundred thirteen billion, two hundred thirty-one million, three hundred eleven thousand, two hundred thirty-two".