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131323326 = 23196191861
BaseRepresentation
bin1111101001111…
…01010110111110
3100011002220201220
413310331112332
5232104321301
621010414210
73153141561
oct764752676
9304086656
10131323326
1168146182
1237b91366
132128cc14
14136264d8
15b7e0936
hex7d3d5be

131323326 has 32 divisors (see below), whose sum is σ = 277065600. Its totient is φ = 41381280.

The previous prime is 131323303. The next prime is 131323349. The reversal of 131323326 is 623323131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (131323303) and next prime (131323349).

It is a super-3 number, since 3×1313233263 (a number of 25 digits) contains 333 as substring.

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 = 131323296 and 131323305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69636 + ... + 71496.

It is an arithmetic number, because the mean of its divisors is an integer number (8658300).

Almost surely, 2131323326 is an apocalyptic number.

131323326 is an abundant number, since it is smaller than the sum of its proper divisors (145742274).

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

131323326 is a wasteful number, since it uses less digits than its factorization.

131323326 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2504.

The product of its digits is 1944, while the sum is 24.

The square root of 131323326 is about 11459.6389995497. The cubic root of 131323326 is about 508.2927998735.

Adding to 131323326 its reverse (623323131), we get a palindrome (754646457).

The spelling of 131323326 in words is "one hundred thirty-one million, three hundred twenty-three thousand, three hundred twenty-six".

Divisors: 1 2 3 6 19 38 57 114 619 1238 1857 1861 3714 3722 5583 11166 11761 23522 35283 35359 70566 70718 106077 212154 1151959 2303918 3455877 6911754 21887221 43774442 65661663 131323326