Search a number
-
+
1303131132 = 223331093881
BaseRepresentation
bin100110110101100…
…0011001111111100
310100211001220212000
41031223003033330
510132100144012
6333150342300
744202301062
oct11553031774
93324056760
101303131132
11609646786
123044ba990
13179c93214
14c50d8032
157960cddc
hex4dac33fc

1303131132 has 48 divisors (see below), whose sum is σ = 3380445600. Its totient is φ = 434125440.

The previous prime is 1303131121. The next prime is 1303131143. The reversal of 1303131132 is 2311313031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1303131121) and next prime (1303131143).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 333832 + ... + 337712.

It is an arithmetic number, because the mean of its divisors is an integer number (70425950).

Almost surely, 21303131132 is an apocalyptic number.

1303131132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1303131132 is an abundant number, since it is smaller than the sum of its proper divisors (2077314468).

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

1303131132 is a wasteful number, since it uses less digits than its factorization.

1303131132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7003 (or 6995 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 1303131132 is about 36098.9076289020. The cubic root of 1303131132 is about 1092.2684100497.

Adding to 1303131132 its reverse (2311313031), we get a palindrome (3614444163).

The spelling of 1303131132 in words is "one billion, three hundred three million, one hundred thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 3109 3881 6218 7762 9327 11643 12436 15524 18654 23286 27981 34929 37308 46572 55962 69858 83943 104787 111924 139716 167886 209574 335772 419148 12066029 24132058 36198087 48264116 72396174 108594261 144792348 217188522 325782783 434377044 651565566 1303131132