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121105125 = 3753443
BaseRepresentation
bin1110011011111…
…10101011100101
322102212210000000
413031332223211
5222000331000
620003411513
73000243111
oct715765345
9272783000
10121105125
11623a7089
1234683b99
131c122c4b
1412126741
15a973000
hex737eae5

121105125 has 64 divisors (see below), whose sum is σ = 227185920. Its totient is φ = 64443600.

The previous prime is 121105121. The next prime is 121105141. The reversal of 121105125 is 521501121.

It is not a de Polignac number, because 121105125 - 22 = 121105121 is a prime.

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 121105098 and 121105107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121105121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 273154 + ... + 273596.

It is an arithmetic number, because the mean of its divisors is an integer number (3549780).

Almost surely, 2121105125 is an apocalyptic number.

121105125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

121105125 is a deficient number, since it is larger than the sum of its proper divisors (106080795).

121105125 is an frugal number, since it uses more digits than its factorization.

121105125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

The square root of 121105125 is about 11004.7773716691. Note that the first 3 decimals coincide. The cubic root of 121105125 is about 494.7519418277.

Adding to 121105125 its reverse (521501121), we get a palindrome (642606246).

The spelling of 121105125 in words is "one hundred twenty-one million, one hundred five thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 125 135 225 243 375 405 443 675 729 1125 1215 1329 2025 2187 2215 3375 3645 3987 6075 6645 10125 10935 11075 11961 18225 19935 30375 33225 35883 54675 55375 59805 91125 99675 107649 166125 179415 273375 299025 322947 498375 538245 897075 968841 1495125 1614735 2691225 4485375 4844205 8073675 13456125 24221025 40368375 121105125