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21230011332000 = 25335317101114487
BaseRepresentation
bin1001101001110111111110…
…10010001011010110100000
32210011120100222210020121000
410310323333102023112200
510240313030400111000
6113052533233432000
74320550320601452
oct464737722132640
983146328706530
1021230011332000
116845662a28049
12246a627a0b600
13bacc9b400753
145357765002d2
1526c394688000
hex134eff48b5a0

21230011332000 has 768 divisors, whose sum is σ = 82633811420160. Its totient is φ = 5275514880000.

The previous prime is 21230011331959. The next prime is 21230011332107. The reversal of 21230011332000 is 23311003212.

21230011332000 is a `hidden beast` number, since 2 + 1 + 230 + 0 + 113 + 320 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 185378757 + ... + 185493243.

It is an arithmetic number, because the mean of its divisors is an integer number (107596108620).

Almost surely, 221230011332000 is an apocalyptic number.

21230011332000 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 21230011332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41316905710080).

21230011332000 is an abundant number, since it is smaller than the sum of its proper divisors (61403800088160).

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

21230011332000 is a wasteful number, since it uses less digits than its factorization.

21230011332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114639 (or 114615 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 21230011332000 its reverse (23311003212), we get a palindrome (21253322335212).

The spelling of 21230011332000 in words is "twenty-one trillion, two hundred thirty billion, eleven million, three hundred thirty-two thousand".