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121020111003 = 31117827260849
BaseRepresentation
bin111000010110101011…
…1000101100010011011
3102120101002200121201110
41300231113011202123
53440322122023003
6131332412551403
711512663653651
oct1605527054233
9376332617643
10121020111003
1147362774670
121b555482563
13b54864634c
145c00a0add1
15323480aa03
hex1c2d5c589b

121020111003 has 32 divisors (see below), whose sum is σ = 186610003200. Its totient is φ = 68947343360.

The previous prime is 121020111001. The next prime is 121020111049. The reversal of 121020111003 is 300111020121.

It is not a de Polignac number, because 121020111003 - 21 = 121020111001 is a prime.

It is a super-3 number, since 3×1210201110033 (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 121020111003.

It is not an unprimeable number, because it can be changed into a prime (121020111001) 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 31 ways as a sum of consecutive naturals, for example, 333523 + ... + 594371.

It is an arithmetic number, because the mean of its divisors is an integer number (5831562600).

Almost surely, 2121020111003 is an apocalyptic number.

121020111003 is a deficient number, since it is larger than the sum of its proper divisors (65589892197).

121020111003 is a wasteful number, since it uses less digits than its factorization.

121020111003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261707.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 121020111003 its reverse (300111020121), we get a palindrome (421131131124).

The spelling of 121020111003 in words is "one hundred twenty-one billion, twenty million, one hundred eleven thousand, three".

Divisors: 1 3 11 17 33 51 187 561 827 2481 9097 14059 27291 42177 154649 260849 463947 782547 2869339 4434433 8608017 13303299 48778763 146336289 215722123 647166369 2372943353 3667276091 7118830059 11001828273 40340037001 121020111003