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3133020242131 = 132323119176943
BaseRepresentation
bin101101100101110110100…
…011110000000011010011
3102002111212120022201101121
4231211312203300003103
5402312411140222011
610355142320543111
7442232106442063
oct55456643600323
912074776281347
103133020242131
11aa878528148a
1242724a181a97
1319959a355650
14ab8d35573a3
155676c7e8e71
hex2d9768f00d3

3133020242131 has 48 divisors (see below), whose sum is σ = 3659983552512. Its totient is φ = 2662993396800.

The previous prime is 3133020242111. The next prime is 3133020242167. The reversal of 3133020242131 is 1312420203313.

3133020242131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3133020242131 - 223 = 3133011853523 is a prime.

It is a super-2 number, since 2×31330202421312 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3133020242096 and 3133020242105.

It is not an unprimeable number, because it can be changed into a prime (3133020242111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40680246 + ... + 40757188.

It is an arithmetic number, because the mean of its divisors is an integer number (76249657344).

Almost surely, 23133020242131 is an apocalyptic number.

3133020242131 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

3133020242131 is a deficient number, since it is larger than the sum of its proper divisors (526963310381).

3133020242131 is a wasteful number, since it uses less digits than its factorization.

3133020242131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77224 (or 77201 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 3133020242131 its reverse (1312420203313), we get a palindrome (4445440445444).

The spelling of 3133020242131 in words is "three trillion, one hundred thirty-three billion, twenty million, two hundred forty-two thousand, one hundred thirty-one".

Divisors: 1 13 23 31 191 299 403 529 713 2483 4393 5921 6877 9269 16399 57109 76943 76973 101039 136183 213187 1000259 1313507 1769689 1770379 2385233 3132209 14696113 23005957 31008029 40702847 40718717 54860359 191049469 338010599 455579503 529137011 713184667 1261788257 4394137787 5922533539 7774243777 10478328569 16403247341 101065169101 136218271397 241001557087 3133020242131