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1301131132 = 227315328283
BaseRepresentation
bin100110110001101…
…1010111101111100
310100200022022100221
41031203122331330
510131042144012
6333035431124
744146301140
oct11543327574
93320268327
101301131132
11608500094
123038b54a4
13179742aa2
14c4b37220
1579365507
hex4d8daf7c

1301131132 has 48 divisors (see below), whose sum is σ = 2736986112. Its totient is φ = 529439040.

The previous prime is 1301131121. The next prime is 1301131133. The reversal of 1301131132 is 2311311031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1301131133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31863 + ... + 60145.

It is an arithmetic number, because the mean of its divisors is an integer number (57020544).

Almost surely, 21301131132 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 1301131132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1368493056).

1301131132 is an abundant number, since it is smaller than the sum of its proper divisors (1435854980).

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

1301131132 is a wasteful number, since it uses less digits than its factorization.

1301131132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28378 (or 28376 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 1301131132 is about 36071.1953225839. The cubic root of 1301131132 is about 1091.7093321734.

Adding to 1301131132 its reverse (2311311031), we get a palindrome (3612442163).

The spelling of 1301131132 in words is "one billion, three hundred one million, one hundred thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 31 53 62 106 124 212 217 371 434 742 868 1484 1643 3286 6572 11501 23002 28283 46004 56566 113132 197981 395962 791924 876773 1498999 1753546 2997998 3507092 5995996 6137411 10492993 12274822 20985986 24549644 41971972 46468969 92937938 185875876 325282783 650565566 1301131132