Search a number
-
+
21021011044000 = 2553112127341983
BaseRepresentation
bin1001100011110010101011…
…11001010110011010100000
32202102120220101212120000121
410301321111321112122200
510223402012311402000
6112412530312130024
74266501151503652
oct461712571263240
982376811776017
1021021011044000
116774a62799300
12243601a096914
13b96371560196
145295cad706d2
15266c10ecbb1a
hex131e55e566a0

21021011044000 has 288 divisors, whose sum is σ = 57217983234048. Its totient is φ = 7583792832000.

The previous prime is 21021011043959. The next prime is 21021011044037. The reversal of 21021011044000 is 44011012012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61297009 + ... + 61638991.

It is an arithmetic number, because the mean of its divisors is an integer number (198673552896).

Almost surely, 221021011044000 is an apocalyptic number.

21021011044000 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 21021011044000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28608991617024).

21021011044000 is an abundant number, since it is smaller than the sum of its proper divisors (36196972190048).

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

21021011044000 is a wasteful number, since it uses less digits than its factorization.

21021011044000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342157 (or 342128 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 21021011044000 its reverse (44011012012), we get a palindrome (21065022056012).

The spelling of 21021011044000 in words is "twenty-one trillion, twenty-one billion, eleven million, forty-four thousand".