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121966965 = 345301153
BaseRepresentation
bin1110100010100…
…01000101110101
322111111120020000
413101101011311
5222210420330
620034101513
73010462551
oct721210565
9274446200
10121966965
116293564a
1234a1a899
131c365303
14122ac861
15aa93560
hex7451175

121966965 has 20 divisors (see below), whose sum is σ = 218637804. Its totient is φ = 65048832.

The previous prime is 121966961. The next prime is 121966973. The reversal of 121966965 is 569669121.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 16329681 + 105637284 = 4041^2 + 10278^2 .

It is not a de Polignac number, because 121966965 - 22 = 121966961 is a prime.

It is a super-2 number, since 2×1219669652 = 29751881102622450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 121966965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121966961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 150172 + ... + 150981.

Almost surely, 2121966965 is an apocalyptic number.

121966965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

121966965 is a deficient number, since it is larger than the sum of its proper divisors (96670839).

121966965 is an equidigital number, since it uses as much as digits as its factorization.

121966965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301170 (or 301161 counting only the distinct ones).

The product of its digits is 174960, while the sum is 45.

The square root of 121966965 is about 11043.8654917560. The cubic root of 121966965 is about 495.9227965274.

The spelling of 121966965 in words is "one hundred twenty-one million, nine hundred sixty-six thousand, nine hundred sixty-five".

Divisors: 1 3 5 9 15 27 45 81 135 405 301153 903459 1505765 2710377 4517295 8131131 13551885 24393393 40655655 121966965