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12121012033131 = 3103131143299113
BaseRepresentation
bin1011000001100010010010…
…0111011101011001101011
31120220202110011120022202110
42300120210213131121223
53042042313040030011
641440152133533403
72360466656223561
oct260304447353153
946822404508673
1012121012033131
113953546331441
1214391724a4263
1369c011468211
142dc9354c5a31
15160466b82ba6
hexb06249dd66b

12121012033131 has 16 divisors (see below), whose sum is σ = 16318434669056. Its totient is φ = 8002133764416.

The previous prime is 12121012033121. The next prime is 12121012033139. The reversal of 12121012033131 is 13133021012121.

12121012033131 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 12121012033131 - 213 = 12121012024939 is a prime.

It is a super-2 number, since 2×121210120331312 (a number of 27 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 = 12121012033098 and 12121012033107.

It is not an unprimeable number, because it can be changed into a prime (12121012033139) 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, 40373631 + ... + 40672743.

It is an arithmetic number, because the mean of its divisors is an integer number (1019902166816).

Almost surely, 212121012033131 is an apocalyptic number.

12121012033131 is a deficient number, since it is larger than the sum of its proper divisors (4197422635925).

12121012033131 is a wasteful number, since it uses less digits than its factorization.

12121012033131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430362.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 12121012033131 its reverse (13133021012121), we get a palindrome (25254033045252).

The spelling of 12121012033131 in words is "twelve trillion, one hundred twenty-one billion, twelve million, thirty-three thousand, one hundred thirty-one".

Divisors: 1 3 103 309 131143 299113 393429 897339 13507729 30808639 40523187 92425917 39226576159 117679728477 4040337344377 12121012033131