Search a number
-
+
21101300221230 = 23251749167341737
BaseRepresentation
bin1001100110001000001111…
…00000010000010100101110
32202201021010220010100121100
410303010013200100110232
510231210430324034410
6112513445315543530
74305342614320605
oct463040740202456
982637126110540
1021101300221230
1167a6013957529
1224496a68baba6
13ba0ac8573888
1452d4462a2a3c
15268d5ea6c8c0
hex13310781052e

21101300221230 has 192 divisors, whose sum is σ = 58296837613248. Its totient is φ = 5277246750720.

The previous prime is 21101300221181. The next prime is 21101300221237. The reversal of 21101300221230 is 3212200310112.

21101300221230 is a `hidden beast` number, since 2 + 110 + 1 + 300 + 2 + 21 + 230 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21101300221237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 505556922 + ... + 505598658.

It is an arithmetic number, because the mean of its divisors is an integer number (303629362569).

Almost surely, 221101300221230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21101300221230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29148418806624).

21101300221230 is an abundant number, since it is smaller than the sum of its proper divisors (37195537392018).

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

21101300221230 is a wasteful number, since it uses less digits than its factorization.

21101300221230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42931 (or 42928 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21101300221230 its reverse (3212200310112), we get a palindrome (24313500531342).

The spelling of 21101300221230 in words is "twenty-one trillion, one hundred one billion, three hundred million, two hundred twenty-one thousand, two hundred thirty".