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131303304 = 233211193859
BaseRepresentation
bin1111101001110…
…00011110001000
3100011001220021100
413310320132020
5232103201204
621010141400
73153026316
oct764703610
9304056240
10131303304
1168132130
1237b81860
1321283a82
141361d0b6
15b7d9a39
hex7d38788

131303304 has 96 divisors (see below), whose sum is σ = 390405600. Its totient is φ = 39536640.

The previous prime is 131303273. The next prime is 131303309. The reversal of 131303304 is 403303131.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131303309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152427 + ... + 153285.

It is an arithmetic number, because the mean of its divisors is an integer number (4066725).

Almost surely, 2131303304 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 131303304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195202800).

131303304 is an abundant number, since it is smaller than the sum of its proper divisors (259102296).

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

131303304 is a wasteful number, since it uses less digits than its factorization.

131303304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 131303304 is about 11458.7653785214. The cubic root of 131303304 is about 508.2669665455.

Adding to 131303304 its reverse (403303131), we get a palindrome (534606435).

The spelling of 131303304 in words is "one hundred thirty-one million, three hundred three thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 193 198 264 386 396 579 772 792 859 1158 1544 1718 1737 2123 2316 2577 3436 3474 4246 4632 5154 6369 6872 6948 7731 8492 9449 10308 12738 13896 15462 16984 18898 19107 20616 25476 28347 30924 37796 38214 50952 56694 61848 75592 76428 85041 113388 152856 165787 170082 226776 331574 340164 497361 663148 680328 994722 1326296 1492083 1823657 1989444 2984166 3647314 3978888 5470971 5968332 7294628 10941942 11936664 14589256 16412913 21883884 32825826 43767768 65651652 131303304