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121521240310041 = 321113112438398301
BaseRepresentation
bin11011101000010111011110…
…010111001000000100011001
3120221021022120011210201102200
4123220113132113020010121
5111412001000004410131
61110242030452120413
734411422422363655
oct3350273627100431
9527238504721380
10121521240310041
11357a1961114940
1211767769606109
1352a6533187070
142201933605a65
15e0b0a65ba2e6
hex6e85de5c8119

121521240310041 has 48 divisors (see below), whose sum is σ = 206236228790592. Its totient is φ = 67977855792000.

The previous prime is 121521240310007. The next prime is 121521240310069. The reversal of 121521240310041 is 140013042125121.

121521240310041 is a `hidden beast` number, since 1 + 2 + 1 + 5 + 212 + 403 + 1 + 0 + 0 + 41 = 666.

It is not a de Polignac number, because 121521240310041 - 226 = 121521173201177 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121521240309987 and 121521240310014.

It is not an unprimeable number, because it can be changed into a prime (121521240310081) 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 47 ways as a sum of consecutive naturals, for example, 10270591 + ... + 18668891.

It is an arithmetic number, because the mean of its divisors is an integer number (4296588099804).

Almost surely, 2121521240310041 is an apocalyptic number.

121521240310041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121521240310041 is a deficient number, since it is larger than the sum of its proper divisors (84714988480551).

121521240310041 is a wasteful number, since it uses less digits than its factorization.

121521240310041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8409574 (or 8409571 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 121521240310041 its reverse (140013042125121), we get a palindrome (261534282435162).

The spelling of 121521240310041 in words is "one hundred twenty-one trillion, five hundred twenty-one billion, two hundred forty million, three hundred ten thousand, forty-one".

Divisors: 1 3 9 11 13 33 39 99 117 143 429 1287 11243 33729 101187 123673 146159 371019 438477 1113057 1315431 1607749 4823247 8398301 14469741 25194903 75584709 92381311 109177913 277143933 327533739 831431799 982601217 1200957043 3602871129 10808613387 94422098143 283266294429 849798883287 1038643079573 1227487275859 3115929238719 3682461827577 9347787716157 11047385482731 13502360034449 40507080103347 121521240310041