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131000333 = 1019531361
BaseRepresentation
bin1111100111011…
…10100000001101
3100010111111200012
413303232200031
5232014002313
620555443005
73150325112
oct763564015
9303444605
10131000333
1167a45542
1237a56465
13211a8bb9
1413580909
15b779da8
hex7cee80d

131000333 has 8 divisors (see below), whose sum is σ = 132533496. Its totient is φ = 129472000.

The previous prime is 131000321. The next prime is 131000357. The reversal of 131000333 is 333000131.

It can be written as a sum of positive squares in 4 ways, for example, as 26183689 + 104816644 = 5117^2 + 10238^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131000333 - 214 = 130983949 is a prime.

It is a super-2 number, since 2×1310003332 = 34322174492221778, which contains 22 as substring.

It is a Duffinian number.

131000333 is a modest number, since divided by 333 gives 131 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131005333) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95573 + ... + 96933.

It is an arithmetic number, because the mean of its divisors is an integer number (16566687).

Almost surely, 2131000333 is an apocalyptic number.

It is an amenable number.

131000333 is a deficient number, since it is larger than the sum of its proper divisors (1533163).

131000333 is a wasteful number, since it uses less digits than its factorization.

131000333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2415.

The product of its (nonzero) digits is 81, while the sum is 14.

The square root of 131000333 is about 11445.5376894229. The cubic root of 131000333 is about 507.8757381500.

Adding to 131000333 its reverse (333000131), we get a palindrome (464000464).

The spelling of 131000333 in words is "one hundred thirty-one million, three hundred thirty-three", and thus it is an aban number.

Divisors: 1 101 953 1361 96253 137461 1297033 131000333