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121331102013 = 3311408522229
BaseRepresentation
bin111000011111111100…
…1011011000100111101
3102121011202212121012000
41300333321123010331
53441441230231023
6131423322332513
711523461231202
oct1607771330475
9377152777160
10121331102013
1147502275830
121b62165a139
13b597bc1ab4
145c30041ca9
153251c8b243
hex1c3fe5b13d

121331102013 has 16 divisors (see below), whose sum is σ = 196090670400. Its totient is φ = 73534001040.

The previous prime is 121331102003. The next prime is 121331102017. The reversal of 121331102013 is 310201133121.

121331102013 is a `hidden beast` number, since 121 + 331 + 10 + 201 + 3 = 666.

It is not a de Polignac number, because 121331102013 - 25 = 121331101981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121331102017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204260818 + ... + 204261411.

It is an arithmetic number, because the mean of its divisors is an integer number (12255666900).

Almost surely, 2121331102013 is an apocalyptic number.

It is an amenable number.

121331102013 is a deficient number, since it is larger than the sum of its proper divisors (74759568387).

121331102013 is a wasteful number, since it uses less digits than its factorization.

121331102013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408522249 (or 408522243 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 121331102013 its reverse (310201133121), we get a palindrome (431532235134).

The spelling of 121331102013 in words is "one hundred twenty-one billion, three hundred thirty-one million, one hundred two thousand, thirteen".

Divisors: 1 3 9 11 27 33 99 297 408522229 1225566687 3676700061 4493744519 11030100183 13481233557 40443700671 121331102013