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131212123300233 = 34371032659159857
BaseRepresentation
bin11101110101011000110011…
…111111111110000110001001
3122012120202102110211212020000
4131311120303333332012021
5114144234412031101413
61143022003422553213
736431522506566243
oct3565306377760611
9565522373755200
10131212123300233
1138898826a01208
1212871956738809
13582a333715811
1424589b483d093
1510281dd75d073
hex775633ffe189

131212123300233 has 80 divisors (see below), whose sum is σ = 203337892517760. Its totient is φ = 84252025511424.

The previous prime is 131212123300229. The next prime is 131212123300249. The reversal of 131212123300233 is 332003321212131.

131212123300233 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 1 + 2 + 123 + 300 + 233 = 666.

It is not a de Polignac number, because 131212123300233 - 22 = 131212123300229 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 131212123300197 and 131212123300206.

It is not an unprimeable number, because it can be changed into a prime (131212123300033) 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 79 ways as a sum of consecutive naturals, for example, 820729441 + ... + 820889297.

It is an arithmetic number, because the mean of its divisors is an integer number (2541723656472).

Almost surely, 2131212123300233 is an apocalyptic number.

It is an amenable number.

131212123300233 is a deficient number, since it is larger than the sum of its proper divisors (72125769217527).

131212123300233 is a wasteful number, since it uses less digits than its factorization.

131212123300233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162668 (or 162659 counting only the distinct ones).

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

Adding to 131212123300233 its reverse (332003321212131), we get a palindrome (463215444512364).

The spelling of 131212123300233 in words is "one hundred thirty-one trillion, two hundred twelve billion, one hundred twenty-three million, three hundred thousand, two hundred thirty-three".

Divisors: 1 3 9 27 37 81 103 111 309 333 927 999 2659 2781 2997 3811 7977 8343 11433 23931 34299 71793 98383 102897 159857 215379 273877 295149 308691 479571 821631 885447 1438713 2464893 2656341 4316139 5914709 7394679 7969023 10133449 12948417 16465271 17744127 22184037 30400347 49395813 53232381 91201041 148187439 159697143 273603123 425059763 444562317 479091429 609215027 820809369 1275179289 1333686951 1827645081 3825537867 5482935243 11476613601 15727211231 16448805729 34429840803 43781155589 47181633693 49346417187 131343466767 141544901079 394030400301 424634703237 1182091200903 1273904109711 1619902756793 3546273602709 4859708270379 14579124811137 43737374433411 131212123300233