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131321322 = 23211663239
BaseRepresentation
bin1111101001111…
…00110111101010
3100011002210222200
413310330313222
5232104240242
621010401030
73153132666
oct764746752
9304083880
10131321322
1168144720
1237b90176
132128c032
14136258a6
15b7e004c
hex7d3cdea

131321322 has 24 divisors (see below), whose sum is σ = 310396320. Its totient is φ = 39794280.

The previous prime is 131321321. The next prime is 131321327. The reversal of 131321322 is 223123131.

It is a super-2 number, since 2×1313213222 = 34490579223655368, which contains 22 as substring.

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

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 = 131321295 and 131321304.

It is not an unprimeable number, because it can be changed into a prime (131321321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 331422 + ... + 331817.

It is an arithmetic number, because the mean of its divisors is an integer number (12933180).

Almost surely, 2131321322 is an apocalyptic number.

131321322 is an abundant number, since it is smaller than the sum of its proper divisors (179074998).

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

131321322 is a wasteful number, since it uses less digits than its factorization.

131321322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663258 (or 663255 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 131321322 is about 11459.5515619068. The cubic root of 131321322 is about 508.2902143365.

Adding to 131321322 its reverse (223123131), we get a palindrome (354444453).

The spelling of 131321322 in words is "one hundred thirty-one million, three hundred twenty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 663239 1326478 1989717 3979434 5969151 7295629 11938302 14591258 21886887 43773774 65660661 131321322