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1303213312 = 2819725841
BaseRepresentation
bin100110110101101…
…0111010100000000
310100211020002120201
41031223113110000
510132110311222
6333152214544
744203062502
oct11553272400
93324202521
101303213312
116096a24a5
1230453a454
13179cc174b
14c5119d72
1579627427
hex4dad7500

1303213312 has 36 divisors (see below), whose sum is σ = 2614641876. Its totient is φ = 648273920.

The previous prime is 1303213291. The next prime is 1303213361. The reversal of 1303213312 is 2133123031.

It can be written as a sum of positive squares in 2 ways, for example, as 905769216 + 397444096 = 30096^2 + 19936^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1303213312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 37512 + ... + 63352.

It is an arithmetic number, because the mean of its divisors is an integer number (72628941).

Almost surely, 21303213312 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 1303213312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307320938).

1303213312 is an abundant number, since it is smaller than the sum of its proper divisors (1311428564).

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

1303213312 is an equidigital number, since it uses as much as digits as its factorization.

1303213312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26054 (or 26040 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 1303213312 is about 36100.0458725470. The cubic root of 1303213312 is about 1092.2913703206.

Adding to 1303213312 its reverse (2133123031), we get a palindrome (3436336343).

The spelling of 1303213312 in words is "one billion, three hundred three million, two hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 197 256 394 788 1576 3152 6304 12608 25216 25841 50432 51682 103364 206728 413456 826912 1653824 3307648 5090677 6615296 10181354 20362708 40725416 81450832 162901664 325803328 651606656 1303213312