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1301144430 = 23541225801
BaseRepresentation
bin100110110001101…
…1110001101101110
310100200022222121110
41031203132031232
510131043110210
6333040012450
744146354665
oct11543361556
93320288543
101301144430
1160850a083
12303901126
13179748b61
14c4b3bddc
1579369420
hex4d8de36e

1301144430 has 48 divisors (see below), whose sum is σ = 3200892912. Its totient is φ = 338496000.

The previous prime is 1301144423. The next prime is 1301144447. The reversal of 1301144430 is 344411031.

It is a junction number, because it is equal to n+sod(n) for n = 1301144397 and 1301144406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37530 + ... + 63330.

It is an arithmetic number, because the mean of its divisors is an integer number (66685269).

Almost surely, 21301144430 is an apocalyptic number.

1301144430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1301144430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1600446456).

1301144430 is an abundant number, since it is smaller than the sum of its proper divisors (1899748482).

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

1301144430 is a wasteful number, since it uses less digits than its factorization.

1301144430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25893 (or 25852 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1301144430 is about 36071.3796520177. The cubic root of 1301144430 is about 1091.7130513736.

Adding to 1301144430 its reverse (344411031), we get a palindrome (1645555461).

The spelling of 1301144430 in words is "one billion, three hundred one million, one hundred forty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 205 246 410 615 1230 1681 3362 5043 8405 10086 16810 25215 25801 50430 51602 77403 129005 154806 258010 387015 774030 1057841 2115682 3173523 5289205 6347046 10578410 15867615 31735230 43371481 86742962 130114443 216857405 260228886 433714810 650572215 1301144430