Search a number
-
+
21223210132110 = 2357267587367097
BaseRepresentation
bin1001101001101011010011…
…11001101010001010001110
32210010220211000010111021210
410310311221321222022032
510240210113243211420
6113045450320235250
74320216634421400
oct464655171521216
983126730114253
1021223210132110
116842792916998
12246924a16bb26
13bac45635190c
145352cd132b70
1526c0e753c9e0
hex134d69e6a28e

21223210132110 has 192 divisors, whose sum is σ = 60238702556928. Its totient is φ = 4770462445056.

The previous prime is 21223210132109. The next prime is 21223210132127. The reversal of 21223210132110 is 1123101232212.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57630082 + ... + 57997178.

It is an arithmetic number, because the mean of its divisors is an integer number (313743242484).

Almost surely, 221223210132110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21223210132110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30119351278464).

21223210132110 is an abundant number, since it is smaller than the sum of its proper divisors (39015492424818).

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

21223210132110 is a wasteful number, since it uses less digits than its factorization.

21223210132110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367775 (or 367768 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 21223210132110 its reverse (1123101232212), we get a palindrome (22346311364322).

The spelling of 21223210132110 in words is "twenty-one trillion, two hundred twenty-three billion, two hundred ten million, one hundred thirty-two thousand, one hundred ten".