Search a number
-
+
21101344 = 2511151397
BaseRepresentation
bin101000001111…
…1101100100000
31110201001121021
41100133230200
520400220334
62032135224
7344233645
oct120375440
943631537
1021101344
1110a02830
127097514
1344aa804
142b33dcc
151cbc3b4
hex141fb20

21101344 has 48 divisors (see below), whose sum is σ = 45734976. Its totient is φ = 9504000.

The previous prime is 21101341. The next prime is 21101371. The reversal of 21101344 is 44310112.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21101341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52954 + ... + 53350.

It is an arithmetic number, because the mean of its divisors is an integer number (952812).

Almost surely, 221101344 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 21101344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22867488).

21101344 is an abundant number, since it is smaller than the sum of its proper divisors (24633632).

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

21101344 is a wasteful number, since it uses less digits than its factorization.

21101344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 21101344 is about 4593.6199233284. The cubic root of 21101344 is about 276.3355157949.

Adding to 21101344 its reverse (44310112), we get a palindrome (65411456).

The spelling of 21101344 in words is "twenty-one million, one hundred one thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 151 176 302 352 397 604 794 1208 1588 1661 2416 3176 3322 4367 4832 6352 6644 8734 12704 13288 17468 26576 34936 53152 59947 69872 119894 139744 239788 479576 659417 959152 1318834 1918304 2637668 5275336 10550672 21101344