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1302127225 = 527210312
BaseRepresentation
bin100110110011100…
…1110001001111001
310100202011220202021
41031213032021321
510131321032400
6333113034441
744160620200
oct11547161171
93322156667
101302127225
11609020503
123040b5a21
13179a012a9
14c4d16237
15794b071a
hex4d9ce279

1302127225 has 27 divisors (see below), whose sum is σ = 1880075631. Its totient is φ = 892021200.

The previous prime is 1302127181. The next prime is 1302127237. The reversal of 1302127225 is 5227212031.

The square root of 1302127225 is 36085.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 468765801 + 833361424 = 21651^2 + 28868^2 .

It is not a de Polignac number, because 1302127225 - 221 = 1300030073 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a self number, because there is not a number n which added to its sum of digits gives 1302127225.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 1262460 + ... + 1263490.

Almost surely, 21302127225 is an apocalyptic number.

1302127225 is the 36085-th square number.

1302127225 is the 18043-rd centered octagonal number.

It is an amenable number.

1302127225 is a deficient number, since it is larger than the sum of its proper divisors (577948406).

1302127225 is an frugal number, since it uses more digits than its factorization.

1302127225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2086 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The cubic root of 1302127225 is about 1091.9878505113.

Multiplying 1302127225 by its sum of digits (25), we get a square (32553180625 = 1804252).

1302127225 divided by its sum of digits (25) gives a square (52085089 = 72172).

Adding to 1302127225 its reverse (5227212031), we get a palindrome (6529339256).

The spelling of 1302127225 in words is "one billion, three hundred two million, one hundred twenty-seven thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 49 175 245 1031 1225 5155 7217 25775 36085 50519 180425 252595 1062961 1262975 5314805 7440727 26574025 37203635 52085089 186018175 260425445 1302127225