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21213000120312 = 2332711133773108971
BaseRepresentation
bin1001101001011000010010…
…10101100011011111111000
32210002221110110012011010200
410310230021111203133320
510240023211012322222
6113041041232242200
74316405626643220
oct464541125433770
983087413164120
1021213000120312
116839423600a10
12246727a9a0360
13bab4b9cb3110
14534a01143080
1526bbeaee8eac
hex134b095637f8

21213000120312 has 768 divisors, whose sum is σ = 80308981509120. Its totient is φ = 4880740147200.

The previous prime is 21213000120287. The next prime is 21213000120343. The reversal of 21213000120312 is 21302100031212.

21213000120312 is a `hidden beast` number, since 21 + 21 + 300 + 0 + 12 + 0 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 194611987 + ... + 194720957.

It is an arithmetic number, because the mean of its divisors is an integer number (104568986340).

Almost surely, 221213000120312 is an apocalyptic number.

21213000120312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21213000120312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40154490754560).

21213000120312 is an abundant number, since it is smaller than the sum of its proper divisors (59095981388808).

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

21213000120312 is a wasteful number, since it uses less digits than its factorization.

21213000120312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109124 (or 109117 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21213000120312 its reverse (21302100031212), we get a palindrome (42515100151524).

It can be divided in two parts, 21213000 and 120312, that added together give a palindrome (21333312).

The spelling of 21213000120312 in words is "twenty-one trillion, two hundred thirteen billion, one hundred twenty thousand, three hundred twelve".