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1300223104 = 27177732
BaseRepresentation
bin100110101111111…
…1101010010000000
310100121121011210021
41031133331102000
510130324114404
6333004143224
744135466625
oct11537752200
93317534707
101300223104
11607a3a954
12303537b14
131794b56ab
14c497c34c
1579236454
hex4d7fd480

1300223104 has 48 divisors (see below), whose sum is σ = 2746210770. Its totient is φ = 611078144.

The previous prime is 1300223101. The next prime is 1300223107. The reversal of 1300223104 is 4013220031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1300223101) and next prime (1300223107).

It can be written as a sum of positive squares in 3 ways, for example, as 663165504 + 637057600 = 25752^2 + 25240^2 .

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 (1300223101) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1681662 + ... + 1682434.

Almost surely, 21300223104 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 1300223104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1373105385).

1300223104 is an abundant number, since it is smaller than the sum of its proper divisors (1445987666).

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

1300223104 is an frugal number, since it uses more digits than its factorization.

1300223104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1577 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1300223104 is about 36058.6065177233. The cubic root of 1300223104 is about 1091.4553138790.

Adding to 1300223104 its reverse (4013220031), we get a palindrome (5313443135).

The spelling of 1300223104 in words is "one billion, three hundred million, two hundred twenty-three thousand, one hundred four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 773 1088 1546 2176 3092 6184 12368 13141 24736 26282 49472 52564 98944 105128 210256 420512 597529 841024 1195058 1682048 2390116 4780232 9560464 10157993 19120928 20315986 38241856 40631972 76483712 81263944 162527888 325055776 650111552 1300223104