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121416009 = 31113733877
BaseRepresentation
bin1110011110010…
…10100101001001
322110110120110020
413033022211021
5222040303014
620014211053
73003006351
oct717124511
9273416406
10121416009
1162599710
12347b3a89
131c2015c0
14121a7b61
15a9d51a9
hex73ca949

121416009 has 32 divisors (see below), whose sum is σ = 192845184. Its totient is φ = 66977280.

The previous prime is 121416007. The next prime is 121416049. The reversal of 121416009 is 900614121.

It is not a de Polignac number, because 121416009 - 21 = 121416007 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 121416009.

It is not an unprimeable number, because it can be changed into a prime (121416007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29379 + ... + 33255.

It is an arithmetic number, because the mean of its divisors is an integer number (6026412).

Almost surely, 2121416009 is an apocalyptic number.

It is an amenable number.

121416009 is a deficient number, since it is larger than the sum of its proper divisors (71429175).

121416009 is a wasteful number, since it uses less digits than its factorization.

121416009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3977.

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 121416009 is about 11018.8932747350. The cubic root of 121416009 is about 495.1749325600.

The spelling of 121416009 in words is "one hundred twenty-one million, four hundred sixteen thousand, nine".

Divisors: 1 3 11 13 33 39 73 143 219 429 803 949 2409 2847 3877 10439 11631 31317 42647 50401 127941 151203 283021 554411 849063 1663233 3113231 3679273 9339693 11037819 40472003 121416009