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1311431044 = 2271113132503
BaseRepresentation
bin100111000101010…
…1101100110000100
310101101200121012011
41032022231212010
510141211243134
6334044304004
744332660060
oct11612554604
93341617164
101311431044
116132a5610
12307242004
1317b90b001
14c6258aa0
157a1ec264
hex4e2ad984

1311431044 has 48 divisors (see below), whose sum is σ = 2883234816. Its totient is φ = 507031200.

The previous prime is 1311431041. The next prime is 1311431081. The reversal of 1311431044 is 4401341131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (1311431041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24097 + ... + 56599.

It is an arithmetic number, because the mean of its divisors is an integer number (60067392).

Almost surely, 21311431044 is an apocalyptic number.

1311431044 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311431044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441617408).

1311431044 is an abundant number, since it is smaller than the sum of its proper divisors (1571803772).

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

1311431044 is a wasteful number, since it uses less digits than its factorization.

1311431044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32656 (or 32654 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 1311431044 is about 36213.6858659817. The cubic root of 1311431044 is about 1094.5824653035.

Adding to 1311431044 its reverse (4401341131), we get a palindrome (5712772175).

The spelling of 1311431044 in words is "one billion, three hundred eleven million, four hundred thirty-one thousand, forty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 131 154 262 308 524 917 1441 1834 2882 3668 5764 10087 20174 32503 40348 65006 130012 227521 357533 455042 715066 910084 1430132 2502731 4257893 5005462 8515786 10010924 17031572 29805251 46836823 59610502 93673646 119221004 187347292 327857761 655715522 1311431044