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131433132 = 223231992393
BaseRepresentation
bin1111101010110…
…00001010101100
3100011022111100210
413311120022230
5232121330012
621013022420
73154106655
oct765301254
9304274323
10131433132
1168210726
1238024a10
13212cabac
141365452c
15b81323c
hex7d582ac

131433132 has 48 divisors (see below), whose sum is σ = 321753600. Its totient is φ = 41678208.

The previous prime is 131433121. The next prime is 131433143. The reversal of 131433132 is 231334131.

It is an interprime number because it is at equal distance from previous prime (131433121) and next prime (131433143).

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

It is a junction number, because it is equal to n+sod(n) for n = 131433099 and 131433108.

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, 53728 + ... + 56120.

It is an arithmetic number, because the mean of its divisors is an integer number (6703200).

Almost surely, 2131433132 is an apocalyptic number.

131433132 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 131433132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160876800).

131433132 is an abundant number, since it is smaller than the sum of its proper divisors (190320468).

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

131433132 is a wasteful number, since it uses less digits than its factorization.

131433132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2622 (or 2620 counting only the distinct ones).

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

The square root of 131433132 is about 11464.4289870887. The cubic root of 131433132 is about 508.4344300823.

Adding to 131433132 its reverse (231334131), we get a palindrome (362767263).

Subtracting 131433132 from its reverse (231334131), we obtain a palindrome (99900999).

The spelling of 131433132 in words is "one hundred thirty-one million, four hundred thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 199 276 398 597 796 1194 2388 2393 4577 4786 7179 9154 9572 13731 14358 18308 27462 28716 54924 55039 110078 165117 220156 330234 476207 660468 952414 1428621 1904828 2857242 5714484 10952761 21905522 32858283 43811044 65716566 131433132