Search a number
-
+
21023435006244 = 2234111910110928201
BaseRepresentation
bin1001100011110111001100…
…11000000010000100100100
32202102211011022222121010000
410301323212120002010210
510223421443330144434
6112414011022101300
74266615214031166
oct461734630020444
982384138877100
1021023435006244
116775a96a87a90
122436595a1a830
13b966697b8878
1452977ac6a936
15266d03bd7b99
hex131ee6602124

21023435006244 has 480 divisors, whose sum is σ = 64323166723200. Its totient is φ = 5920646400000.

The previous prime is 21023435006237. The next prime is 21023435006269. The reversal of 21023435006244 is 44260053432012.

21023435006244 is a `hidden beast` number, since 2 + 1 + 0 + 23 + 4 + 3 + 5 + 0 + 0 + 624 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 21023435006199 and 21023435006208.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 745471344 + ... + 745499544.

It is an arithmetic number, because the mean of its divisors is an integer number (134006597340).

Almost surely, 221023435006244 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 21023435006244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32161583361600).

21023435006244 is an abundant number, since it is smaller than the sum of its proper divisors (43299731716956).

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

21023435006244 is a wasteful number, since it uses less digits than its factorization.

21023435006244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28457 (or 28446 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 21023435006244 its reverse (44260053432012), we get a palindrome (65283488438256).

The spelling of 21023435006244 in words is "twenty-one trillion, twenty-three billion, four hundred thirty-five million, six thousand, two hundred forty-four".