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131333412 = 22371938101
BaseRepresentation
bin1111101001111…
…11110100100100
3100011010102120110
413310333310210
5232110132122
621010533020
73153213150
oct764776444
9304112513
10131333412
1168152811
1237b97170
13212946a2
141362a060
15b7e390c
hex7d3fd24

131333412 has 48 divisors (see below), whose sum is σ = 352080512. Its totient is φ = 37324800.

The previous prime is 131333407. The next prime is 131333413. The reversal of 131333412 is 214333131.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (131333413) 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, 12162 + ... + 20262.

Almost surely, 2131333412 is an apocalyptic number.

131333412 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 131333412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176040256).

131333412 is an abundant number, since it is smaller than the sum of its proper divisors (220747100).

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

131333412 is a wasteful number, since it uses less digits than its factorization.

131333412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8308 (or 8306 counting only the distinct ones).

The product of its digits is 648, while the sum is 21.

The square root of 131333412 is about 11460.0790573189. The cubic root of 131333412 is about 508.3058123116.

Adding to 131333412 its reverse (214333131), we get a palindrome (345666543).

The spelling of 131333412 in words is "one hundred thirty-one million, three hundred thirty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 193 386 579 772 1158 1351 2316 2702 4053 5404 8101 8106 16202 16212 24303 32404 48606 56707 97212 113414 170121 226828 340242 680484 1563493 3126986 4690479 6253972 9380958 10944451 18761916 21888902 32833353 43777804 65666706 131333412