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121512009645 = 32513207712837
BaseRepresentation
bin111000100101010101…
…1100001111110101101
3102121122101021122210200
41301022223201332231
53442324033302040
6131453304024113
711531116016535
oct1611253417655
9377571248720
10121512009645
11475953a8374
121b672162039
13b5c6522b30
145c4a0944c5
153262ac3630
hex1c4aae1fad

121512009645 has 24 divisors (see below), whose sum is σ = 226822419096. Its totient is φ = 59821296768.

The previous prime is 121512009623. The next prime is 121512009649. The reversal of 121512009645 is 546900215121.

121512009645 is a `hidden beast` number, since 1 + 2 + 1 + 5 + 1 + 2 + 0 + 0 + 9 + 645 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2226046761 + 119285962884 = 47181^2 + 345378^2 .

It is not a de Polignac number, because 121512009645 - 26 = 121512009581 is a prime.

It is a super-3 number, since 3×1215120096453 (a number of 34 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121512009649) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103855834 + ... + 103857003.

It is an arithmetic number, because the mean of its divisors is an integer number (9450934129).

Almost surely, 2121512009645 is an apocalyptic number.

121512009645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

121512009645 is a deficient number, since it is larger than the sum of its proper divisors (105310409451).

121512009645 is a wasteful number, since it uses less digits than its factorization.

121512009645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207712861 (or 207712858 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 121512009645 in words is "one hundred twenty-one billion, five hundred twelve million, nine thousand, six hundred forty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 207712837 623138511 1038564185 1869415533 2700266881 3115692555 8100800643 9347077665 13501334405 24302401929 40504003215 121512009645