Search a number
-
+
21300102 = 23219611021
BaseRepresentation
bin101000101000…
…0001110000110
31111002011020200
41101100032012
520423100402
62040311330
7346022265
oct121201606
944064220
1021300102
111102909a
127172546
13454a115
142b865dc
151d0b21c
hex1450386

21300102 has 48 divisors (see below), whose sum is σ = 49423920. Its totient is φ = 6609600.

The previous prime is 21300101. The next prime is 21300113. The reversal of 21300102 is 20100312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21300101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20352 + ... + 21372.

It is an arithmetic number, because the mean of its divisors is an integer number (1029665).

Almost surely, 221300102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21300102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24711960).

21300102 is an abundant number, since it is smaller than the sum of its proper divisors (28123818).

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

21300102 is a wasteful number, since it uses less digits than its factorization.

21300102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109 (or 1106 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 21300102 is about 4615.2033541329. The cubic root of 21300102 is about 277.2004266530.

Adding to 21300102 its reverse (20100312), we get a palindrome (41400414).

The spelling of 21300102 in words is "twenty-one million, three hundred thousand, one hundred two".

Divisors: 1 2 3 6 9 18 19 38 57 61 114 122 171 183 342 366 549 1021 1098 1159 2042 2318 3063 3477 6126 6954 9189 10431 18378 19399 20862 38798 58197 62281 116394 124562 174591 186843 349182 373686 560529 1121058 1183339 2366678 3550017 7100034 10650051 21300102