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1303013112 = 233235940009
BaseRepresentation
bin100110110101010…
…0110011011111000
310100210211220221220
41031222212123320
510132032404422
6333144032040
744201300022
oct11552463370
93323756856
101303013112
11609576045
12304462620
13179c5159b
14c50a7012
15795d7e5c
hex4daa66f8

1303013112 has 64 divisors (see below), whose sum is σ = 3456864000. Its totient is φ = 408401664.

The previous prime is 1303013071. The next prime is 1303013113. The reversal of 1303013112 is 2113103031.

It is a junction number, because it is equal to n+sod(n) for n = 1303013091 and 1303013100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1303013113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12564 + ... + 52572.

It is an arithmetic number, because the mean of its divisors is an integer number (54013500).

Almost surely, 21303013112 is an apocalyptic number.

1303013112 is a gapful number since it is divisible by the number (12) 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 1303013112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1728432000).

1303013112 is an abundant number, since it is smaller than the sum of its proper divisors (2153850888).

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

1303013112 is a wasteful number, since it uses less digits than its factorization.

1303013112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40100 (or 40096 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 1303013112 is about 36097.2729163852. The cubic root of 1303013112 is about 1092.2354347524.

Adding to 1303013112 its reverse (2113103031), we get a palindrome (3416116143).

The spelling of 1303013112 in words is "one billion, three hundred three million, thirteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 23 24 46 59 69 92 118 138 177 184 236 276 354 472 552 708 1357 1416 2714 4071 5428 8142 10856 16284 32568 40009 80018 120027 160036 240054 320072 480108 920207 960216 1840414 2360531 2760621 3680828 4721062 5521242 7081593 7361656 9442124 11042484 14163186 18884248 22084968 28326372 54292213 56652744 108584426 162876639 217168852 325753278 434337704 651506556 1303013112