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121416375 = 3534153149
BaseRepresentation
bin1110011110010…
…10101010110111
322110110120221210
413033022222313
5222040311000
620014212503
73003010413
oct717125267
9273416853
10121416375
1162599a13
12347b4133
131c201812
14121a7d43
15a9d5350
hex73caab7

121416375 has 64 divisors (see below), whose sum is σ = 212284800. Its totient is φ = 61568000.

The previous prime is 121416371. The next prime is 121416377. The reversal of 121416375 is 573614121.

It is not a de Polignac number, because 121416375 - 22 = 121416371 is a prime.

It is a super-2 number, since 2×1214163752 = 29483872236281250, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121416371) 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 63 ways as a sum of consecutive naturals, for example, 814801 + ... + 814949.

It is an arithmetic number, because the mean of its divisors is an integer number (3316950).

Almost surely, 2121416375 is an apocalyptic number.

121416375 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

121416375 is a deficient number, since it is larger than the sum of its proper divisors (90868425).

121416375 is a wasteful number, since it uses less digits than its factorization.

121416375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 251 counting only the distinct ones).

The product of its digits is 5040, while the sum is 30.

The square root of 121416375 is about 11018.9098825610. The cubic root of 121416375 is about 495.1754301162.

The spelling of 121416375 in words is "one hundred twenty-one million, four hundred sixteen thousand, three hundred seventy-five".

Divisors: 1 3 5 15 25 41 53 75 123 125 149 159 205 265 375 447 615 745 795 1025 1325 2173 2235 3075 3725 3975 5125 6109 6519 6625 7897 10865 11175 15375 18327 18625 19875 23691 30545 32595 39485 54325 55875 91635 118455 152725 162975 197425 271625 323777 458175 592275 763625 814875 971331 987125 1618885 2290875 2961375 4856655 8094425 24283275 40472125 121416375