Search a number
-
+
21202323231000 = 23353193750919751
BaseRepresentation
bin1001101001000100011001…
…11100011101000100011000
32210001220220100201222102210
410310202030330131010120
510234334324221343000
6113032113545355120
74315550222613102
oct464421474350430
983056810658383
1021202323231000
1168349447a1a4a
12246519b198aa0
13baa4a7cb8832
145342ab140572
1526b7c39d1350
hex13488cf1d118

21202323231000 has 512 divisors, whose sum is σ = 71658991872000. Its totient is φ = 5201107200000.

The previous prime is 21202323230969. The next prime is 21202323231041. The reversal of 21202323231000 is 13232320212.

It is a happy number.

It is a super-2 number, since 2×212023232310002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1073471125 + ... + 1073490875.

It is an arithmetic number, because the mean of its divisors is an integer number (139958968500).

Almost surely, 221202323231000 is an apocalyptic number.

21202323231000 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 21202323231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35829495936000).

21202323231000 is an abundant number, since it is smaller than the sum of its proper divisors (50456668641000).

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

21202323231000 is a wasteful number, since it uses less digits than its factorization.

21202323231000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20340 (or 20326 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 21202323231000 its reverse (13232320212), we get a palindrome (21215555551212).

The spelling of 21202323231000 in words is "twenty-one trillion, two hundred two billion, three hundred twenty-three million, two hundred thirty-one thousand".