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131322203331 = 31129137222783
BaseRepresentation
bin111101001001101101…
…0011100110011000011
3110112222001220010121120
41322103122130303003
54122421441001311
6140154550323323
712326200211364
oct1722332346303
9415861803546
10131322203331
1150769a62060
122154b659543
13c4caab4a77
1464dad29b6b
153638e8c706
hex1e9369ccc3

131322203331 has 16 divisors (see below), whose sum is σ = 197600808960. Its totient is φ = 76844757920.

The previous prime is 131322203323. The next prime is 131322203377. The reversal of 131322203331 is 133302223131.

It is a cyclic number.

It is not a de Polignac number, because 131322203331 - 23 = 131322203323 is a prime.

It is a super-2 number, since 2×1313222033312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131322203531) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68610435 + ... + 68612348.

It is an arithmetic number, because the mean of its divisors is an integer number (12350050560).

Almost surely, 2131322203331 is an apocalyptic number.

131322203331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131322203331 is a deficient number, since it is larger than the sum of its proper divisors (66278605629).

131322203331 is a wasteful number, since it uses less digits than its factorization.

131322203331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137222826.

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

Adding to 131322203331 its reverse (133302223131), we get a palindrome (264624426462).

The spelling of 131322203331 in words is "one hundred thirty-one billion, three hundred twenty-two million, two hundred three thousand, three hundred thirty-one".

Divisors: 1 3 11 29 33 87 319 957 137222783 411668349 1509450613 3979460707 4528351839 11938382121 43774067777 131322203331