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121645332243 = 32174123383227
BaseRepresentation
bin111000101001010100…
…0000111011100010011
3102121222200011011000200
41301102220013130103
53443112201112433
6131514425350243
711534325156261
oct1612250073423
9377880134020
10121645332243
1147653689636
121b6aa938383
13b618032a46
145c5da7b431
15326e65b613
hex1c52a07713

121645332243 has 48 divisors (see below), whose sum is σ = 191403759456. Its totient is φ = 74144378880.

The previous prime is 121645332217. The next prime is 121645332251. The reversal of 121645332243 is 342233546121.

121645332243 is a `hidden beast` number, since 1 + 2 + 1 + 64 + 533 + 22 + 43 = 666.

It is not a de Polignac number, because 121645332243 - 228 = 121376896787 is a prime.

It is a super-2 number, since 2×1216453322432 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121645332198 and 121645332207.

It is not an unprimeable number, because it can be changed into a prime (121645332443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1419996 + ... + 1503222.

It is an arithmetic number, because the mean of its divisors is an integer number (3987578322).

Almost surely, 2121645332243 is an apocalyptic number.

121645332243 is a deficient number, since it is larger than the sum of its proper divisors (69758427213).

121645332243 is a wasteful number, since it uses less digits than its factorization.

121645332243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83524 (or 83521 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

Adding to 121645332243 its reverse (342233546121), we get a palindrome (463878878364).

The spelling of 121645332243 in words is "one hundred twenty-one billion, six hundred forty-five million, three hundred thirty-two thousand, two hundred forty-three".

Divisors: 1 3 9 17 41 51 123 153 233 369 697 699 2091 2097 3961 6273 9553 11883 28659 35649 83227 85977 162401 249681 487203 749043 1414859 1461609 3412307 4244577 10236921 12733731 19391891 30710763 58009219 58175673 174027657 174527019 329662147 522082971 795067531 988986441 2385202593 2966959323 7155607779 13516148027 40548444081 121645332243