Search a number
-
+
10331325 = 3252173773
BaseRepresentation
bin100111011010…
…010010111101
3201102212220200
4213122102331
510121100300
61005234113
7153546324
oct47322275
921385820
1010331325
115917094
123562939
1321a9614
14152d0bb
15d91200
hex9da4bd

10331325 has 72 divisors (see below), whose sum is σ = 20398248. Its totient is φ = 4976640.

The previous prime is 10331317. The next prime is 10331327. The reversal of 10331325 is 52313301.

10331325 is a `hidden beast` number, since 10 + 331 + 325 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 161604 + 10169721 = 402^2 + 3189^2 .

It is not a de Polignac number, because 10331325 - 23 = 10331317 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10331298 and 10331307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10331327) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 141489 + ... + 141561.

It is an arithmetic number, because the mean of its divisors is an integer number (283309).

Almost surely, 210331325 is an apocalyptic number.

10331325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10331325 is a deficient number, since it is larger than the sum of its proper divisors (10066923).

10331325 is a wasteful number, since it uses less digits than its factorization.

10331325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 10331325 is about 3214.2378567866. The cubic root of 10331325 is about 217.7970574371.

Adding to 10331325 its reverse (52313301), we get a palindrome (62644626).

The spelling of 10331325 in words is "ten million, three hundred thirty-one thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 37 45 51 73 75 85 111 153 185 219 225 255 333 365 425 555 629 657 765 925 1095 1241 1275 1665 1825 1887 2701 2775 3145 3285 3723 3825 5475 5661 6205 8103 8325 9435 11169 13505 15725 16425 18615 24309 28305 31025 40515 45917 47175 55845 67525 93075 121545 137751 141525 202575 229585 279225 413253 607725 688755 1147925 2066265 3443775 10331325