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121003300121 = 11139443178643
BaseRepresentation
bin111000010110001011…
…0111101010100011001
3102120022221001112112012
41300230112331110121
53440303321100441
6131331012355305
711512401036434
oct1605426752431
9376287045465
10121003300121
1147354232380
121b54b915b35
13b54500b692
145bdc6b281b
1532330d99eb
hex1c2c5bd519

121003300121 has 16 divisors (see below), whose sum is σ = 133254132480. Its totient is φ = 108964474320.

The previous prime is 121003300109. The next prime is 121003300129.

121003300121 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 121003300121 - 210 = 121003299097 is a prime.

It is a super-2 number, since 2×1210033001212 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 121003300096 and 121003300105.

It is not an unprimeable number, because it can be changed into a prime (121003300129) 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 15 ways as a sum of consecutive naturals, for example, 588026 + ... + 766668.

It is an arithmetic number, because the mean of its divisors is an integer number (8328383280).

Almost surely, 2121003300121 is an apocalyptic number.

121003300121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121003300121 is a deficient number, since it is larger than the sum of its proper divisors (12250832359).

121003300121 is a wasteful number, since it uses less digits than its factorization.

121003300121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179236.

The product of its (nonzero) digits is 36, while the sum is 14.

It can be divided in two parts, 121003 and 300121, that added together give a palindrome (421124).

The spelling of 121003300121 in words is "one hundred twenty-one billion, three million, three hundred thousand, one hundred twenty-one".

Divisors: 1 11 139 443 1529 4873 61577 178643 677347 1965073 24831377 79138849 273145147 870527339 11000300011 121003300121