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121121230131133 = 31173206310947457
BaseRepresentation
bin11011100010100010111011…
…111001011000111110111101
3120212212002001210002012121021
4123202202323321120332331
5111333422234403144013
61105334154105504141
734340501665066561
oct3342427371307675
9525762053065537
10121121230131133
113565825286aa21
1211702132aa2051
1352778b56c38cb
1421ca427d536a1
15e00993d60a8d
hex6e28bbe58fbd

121121230131133 has 16 divisors (see below), whose sum is σ = 125812040841216. Its totient is φ = 116480056043520.

The previous prime is 121121230131127. The next prime is 121121230131149. The reversal of 121121230131133 is 331131032121121.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-121121230131133 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 121121230131098 and 121121230131107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121121230131103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5590141 + ... + 16537597.

It is an arithmetic number, because the mean of its divisors is an integer number (7863252552576).

Almost surely, 2121121230131133 is an apocalyptic number.

It is an amenable number.

121121230131133 is a deficient number, since it is larger than the sum of its proper divisors (4690810710083).

121121230131133 is a wasteful number, since it uses less digits than its factorization.

121121230131133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10949724.

The product of its (nonzero) digits is 648, while the sum is 25.

Adding to 121121230131133 its reverse (331131032121121), we get a palindrome (452252262252254).

The spelling of 121121230131133 in words is "one hundred twenty-one trillion, one hundred twenty-one billion, two hundred thirty million, one hundred thirty-one thousand, one hundred thirty-three".

Divisors: 1 31 173 2063 5363 63953 356899 10947457 11063869 339371167 1893910061 22584603791 58711211891 700122717521 3907136455843 121121230131133