Search a number
-
+
21223010220000 = 253541747202471
BaseRepresentation
bin1001101001101010111011…
…11111000011011111100000
32210010220022001221220102120
410310311131333003133200
510240204211104020000
6113045414415344240
74320211656251301
oct464653577033740
983126261856376
1021223010220000
11684269aa93a76
1224691b3222080
13bac423ac8624
145352b07747a8
1526c0d4bee6a0
hex134d5dfc37e0

21223010220000 has 240 divisors, whose sum is σ = 69655910873472. Its totient is φ = 5656201920000.

The previous prime is 21223010219953. The next prime is 21223010220017. The reversal of 21223010220000 is 2201032212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 104718765 + ... + 104921235.

Almost surely, 221223010220000 is an apocalyptic number.

21223010220000 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 21223010220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34827955436736).

21223010220000 is an abundant number, since it is smaller than the sum of its proper divisors (48432900653472).

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

21223010220000 is a wasteful number, since it uses less digits than its factorization.

21223010220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204251 (or 204228 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 21223010220000 its reverse (2201032212), we get a palindrome (21225211252212).

The spelling of 21223010220000 in words is "twenty-one trillion, two hundred twenty-three billion, ten million, two hundred twenty thousand".