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121140105 = 35192914657
BaseRepresentation
bin1110011100001…
…11001110001001
322102221112222120
413032013032021
5222002440410
620004241453
73000450102
oct716071611
9272845876
10121140105
1162420399
12346a0289
131c135b48
14121353a9
15a97d570
hex7387389

121140105 has 32 divisors (see below), whose sum is σ = 211075200. Its totient is φ = 59092992.

The previous prime is 121140091. The next prime is 121140121. The reversal of 121140105 is 501041121.

It is a happy number.

It is not a de Polignac number, because 121140105 - 28 = 121139849 is a prime.

It is a super-3 number, since 3×1211401053 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 937 + ... + 15593.

It is an arithmetic number, because the mean of its divisors is an integer number (6596100).

Almost surely, 2121140105 is an apocalyptic number.

121140105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

121140105 is a deficient number, since it is larger than the sum of its proper divisors (89935095).

121140105 is a wasteful number, since it uses less digits than its factorization.

121140105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14713.

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 121140105 is about 11006.3665666740. The cubic root of 121140105 is about 494.7995719532.

Adding to 121140105 its reverse (501041121), we get a palindrome (622181226).

The spelling of 121140105 in words is "one hundred twenty-one million, one hundred forty thousand, one hundred five".

Divisors: 1 3 5 15 19 29 57 87 95 145 285 435 551 1653 2755 8265 14657 43971 73285 219855 278483 425053 835449 1275159 1392415 2125265 4177245 6375795 8076007 24228021 40380035 121140105