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131303322210132 = 223235141103790857
BaseRepresentation
bin11101110110101101101111…
…111000001100111101010100
3122012220110211021200111112200
4131312231233320030331110
5114202233200441211012
61143131525152044500
736441231504541032
oct3566555770147524
9565813737614480
10131303322210132
1138923476354026
1212887568b33730
135835b08a3a027
14245d186a65552
15102a779eac3dc
hex776b6fe0cf54

131303322210132 has 36 divisors (see below), whose sum is σ = 331915068197076. Its totient is φ = 43766528158080.

The previous prime is 131303322210131. The next prime is 131303322210161. The reversal of 131303322210132 is 231012223303131.

131303322210132 is a `hidden beast` number, since 1 + 3 + 1 + 303 + 3 + 2 + 221 + 0 + 132 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 53994808749456 + 77308513460676 = 7348116^2 + 8792526^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1313033222101322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131303322210096 and 131303322210105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131303322210131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50630353 + ... + 53160504.

Almost surely, 2131303322210132 is an apocalyptic number.

131303322210132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131303322210132 is an abundant number, since it is smaller than the sum of its proper divisors (200611745986944).

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

131303322210132 is a wasteful number, since it uses less digits than its factorization.

131303322210132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103826008 (or 103826003 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 131303322210132 its reverse (231012223303131), we get a palindrome (362315545513263).

The spelling of 131303322210132 in words is "one hundred thirty-one trillion, three hundred three billion, three hundred twenty-two million, two hundred ten thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 35141 70282 105423 140564 210846 316269 421692 632538 1265076 103790857 207581714 311372571 415163428 622745142 934117713 1245490284 1868235426 3736470852 3647314505837 7294629011674 10941943517511 14589258023348 21883887035022 32825830552533 43767774070044 65651661105066 131303322210132