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131102223331122 = 23217795423273903
BaseRepresentation
bin11101110011110010011101…
…011100110110111100110010
3122012012020202100122222102200
4131303302131130312330302
5114140434323133043442
61142455310245124030
736420552211350111
oct3563623534667462
9565166670588380
10131102223331122
113885616027385a
12128545a53b9616
13581cb6ab704b4
14245354aa57c78
15102540a32434c
hex773c9d736f32

131102223331122 has 48 divisors (see below), whose sum is σ = 304571062448640. Its totient is φ = 40609474978176.

The previous prime is 131102223331039. The next prime is 131102223331147. The reversal of 131102223331122 is 221133322201131.

131102223331122 is a `hidden beast` number, since 1 + 3 + 1 + 102 + 223 + 3 + 311 + 22 = 666.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2711612778 + ... + 2711661125.

It is an arithmetic number, because the mean of its divisors is an integer number (6345230467680).

Almost surely, 2131102223331122 is an apocalyptic number.

131102223331122 is an abundant number, since it is smaller than the sum of its proper divisors (173468839117518).

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

131102223331122 is a wasteful number, since it uses less digits than its factorization.

131102223331122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5423274007 (or 5423274004 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 131102223331122 its reverse (221133322201131), we get a palindrome (352235545532253).

The spelling of 131102223331122 in words is "one hundred thirty-one trillion, one hundred two billion, two hundred twenty-three million, three hundred thirty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 34 51 79 102 153 158 237 306 474 711 1343 1422 2686 4029 8058 12087 24174 5423273903 10846547806 16269821709 32539643418 48809465127 92195656351 97618930254 184391312702 276586969053 428438638337 553173938106 829760907159 856877276674 1285315915011 1659521814318 2570631830022 3855947745033 7283456851729 7711895490066 14566913703458 21850370555187 43700741110374 65551111665561 131102223331122