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121146025 = 527111347103
BaseRepresentation
bin1110011100010…
…00101010101001
322102221212002211
413032020222221
5222003133100
620004325121
73000503260
oct716105251
9272855084
10121146025
1162424890
12346a37a1
131c138750
14121375d7
15a9801ba
hex7388aa9

121146025 has 96 divisors (see below), whose sum is σ = 207986688. Its totient is φ = 67564800.

The previous prime is 121146023. The next prime is 121146031. The reversal of 121146025 is 520641121.

It is not a de Polignac number, because 121146025 - 21 = 121146023 is a prime.

It is a super-3 number, since 3×1211460253 (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121145987 and 121146005.

It is not an unprimeable number, because it can be changed into a prime (121146023) 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 95 ways as a sum of consecutive naturals, for example, 1176124 + ... + 1176226.

It is an arithmetic number, because the mean of its divisors is an integer number (2166528).

Almost surely, 2121146025 is an apocalyptic number.

It is an amenable number.

121146025 is a deficient number, since it is larger than the sum of its proper divisors (86840663).

121146025 is a wasteful number, since it uses less digits than its factorization.

121146025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 121146025 is about 11006.6354986435. The cubic root of 121146025 is about 494.8076319478.

Adding to 121146025 its reverse (520641121), we get a palindrome (641787146).

The spelling of 121146025 in words is "one hundred twenty-one million, one hundred forty-six thousand, twenty-five".

Divisors: 1 5 7 11 13 25 35 47 55 65 77 91 103 143 175 235 275 325 329 385 455 515 517 611 715 721 1001 1133 1175 1339 1645 1925 2275 2575 2585 3055 3575 3605 3619 4277 4841 5005 5665 6695 6721 7931 8225 9373 12925 14729 15275 18025 18095 21385 24205 25025 28325 33475 33605 33887 39655 46865 47047 53251 62933 73645 90475 103103 106925 121025 168025 169435 198275 234325 235235 266255 314665 368225 372757 440531 515515 692263 847175 1176175 1331275 1573325 1863785 2202655 2577575 3461315 4845841 9318925 11013275 17306575 24229205 121146025