Search a number
-
+
10300221225 = 34527726647
BaseRepresentation
bin10011001011111000…
…01110011100101001
3222120211200110020000
421211330032130221
5132043324034400
64422025253213
7513151302330
oct114574163451
928524613200
1010300221225
11440622a728
121bb5634209
13c81c64b78
146d9d92d17
15404412600
hex265f0e729

10300221225 has 60 divisors (see below), whose sum is σ = 21805253184. Its totient is φ = 4708666080.

The previous prime is 10300221203. The next prime is 10300221227. The reversal of 10300221225 is 52212200301.

It is not a de Polignac number, because 10300221225 - 27 = 10300221097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10300221198 and 10300221207.

It is not an unprimeable number, because it can be changed into a prime (10300221227) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 349149 + ... + 377498.

Almost surely, 210300221225 is an apocalyptic number.

10300221225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10300221225 is an abundant number, since it is smaller than the sum of its proper divisors (11505031959).

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

10300221225 is an equidigital number, since it uses as much as digits as its factorization.

10300221225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726676 (or 726662 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 10300221225 its reverse (52212200301), we get a palindrome (62512421526).

The spelling of 10300221225 in words is "ten billion, three hundred million, two hundred twenty-one thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 81 105 135 175 189 225 315 405 525 567 675 945 1575 2025 2835 4725 14175 726647 2179941 3633235 5086529 6539823 10899705 15259587 18166175 19619469 25432645 32699115 45778761 54498525 58858407 76297935 98097345 127163225 137336283 163495575 228893805 294292035 381489675 412008849 490486725 686681415 1144469025 1471460175 2060044245 3433407075 10300221225