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20121133420341 = 3231106167972439
BaseRepresentation
bin1001001001100110100010…
…00000101000111100110101
32122020120011101100211120100
410210303101000220330311
510114131040123422331
6110443304315424313
74144463305062522
oct444632100507465
978216141324510
1020121133420341
116458363293688
12230b73aa55099
13b2c551250815
144d7c21d22149
1524d5e45c4ae6
hex124cd1028f35

20121133420341 has 24 divisors (see below), whose sum is σ = 30029680212480. Its totient is φ = 12969141170400.

The previous prime is 20121133420331. The next prime is 20121133420373. The reversal of 20121133420341 is 14302433112102.

20121133420341 is a `hidden beast` number, since 2 + 0 + 121 + 1 + 334 + 203 + 4 + 1 = 666.

It is not a de Polignac number, because 20121133420341 - 230 = 20120059678517 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20121133420331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33690201 + ... + 34282238.

It is an arithmetic number, because the mean of its divisors is an integer number (1251236675520).

Almost surely, 220121133420341 is an apocalyptic number.

It is an amenable number.

20121133420341 is a deficient number, since it is larger than the sum of its proper divisors (9908546792139).

20121133420341 is a wasteful number, since it uses less digits than its factorization.

20121133420341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67973537 (or 67973534 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 20121133420341 its reverse (14302433112102), we get a palindrome (34423566532443).

The spelling of 20121133420341 in words is "twenty trillion, one hundred twenty-one billion, one hundred thirty-three million, four hundred twenty thousand, three hundred forty-one".

Divisors: 1 3 9 31 93 279 1061 3183 9549 32891 98673 296019 67972439 203917317 611751951 2107145609 6321436827 18964310481 72118757779 216356273337 649068820011 2235681491149 6707044473447 20121133420341