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21312111303000 = 23325372101478483
BaseRepresentation
bin1001101100010000111001…
…10100101101100101011000
32210110102021200100220020200
410312020130310231211120
510243134200443144000
6113154352045022200
74326514662046500
oct466103464554530
983412250326220
1021312111303000
116877463252451
12248251ab54960
13bb795361314b
14539724118a00
1526e59c1b5500
hex13621cd2d958

21312111303000 has 576 divisors, whose sum is σ = 84625579789920. Its totient is φ = 4823098560000.

The previous prime is 21312111302987. The next prime is 21312111303023. The reversal of 21312111303000 is 30311121312.

21312111303000 is a `hidden beast` number, since 21 + 3 + 1 + 211 + 130 + 300 + 0 = 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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 44301759 + ... + 44780241.

Almost surely, 221312111303000 is an apocalyptic number.

21312111303000 is a gapful number since it is divisible by the number (20) 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 21312111303000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42312789894960).

21312111303000 is an abundant number, since it is smaller than the sum of its proper divisors (63313468486920).

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

21312111303000 is a wasteful number, since it uses less digits than its factorization.

21312111303000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478625 (or 478601 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 21312111303000 its reverse (30311121312), we get a palindrome (21342422424312).

The spelling of 21312111303000 in words is "twenty-one trillion, three hundred twelve billion, one hundred eleven million, three hundred three thousand".