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10106330 = 2513172269
BaseRepresentation
bin100110100011…
…010111011010
3201000110021112
4212203113122
510041400310
61000340322
7151621343
oct46432732
921013245
1010106330
115783043
1234746a2
13212b0a0
1414b10ca
15d49705
hex9a35da

10106330 has 48 divisors (see below), whose sum is σ = 20888280. Its totient is φ = 3499008.

The previous prime is 10106323. The next prime is 10106357. The reversal of 10106330 is 3360101.

It can be written as a sum of positive squares in 12 ways, for example, as 253009 + 9853321 = 503^2 + 3139^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 37436 + ... + 37704.

Almost surely, 210106330 is an apocalyptic number.

10106330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10106330 is an abundant number, since it is smaller than the sum of its proper divisors (10781950).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10106330 is a wasteful number, since it uses less digits than its factorization.

10106330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 10106330 is about 3179.0454542205. The cubic root of 10106330 is about 216.2043818818.

Adding to 10106330 its reverse (3360101), we get a palindrome (13466431).

The spelling of 10106330 in words is "ten million, one hundred six thousand, three hundred thirty".

Divisors: 1 2 5 10 13 17 26 34 65 85 130 170 221 269 289 442 538 578 1105 1345 1445 2210 2690 2890 3497 3757 4573 6994 7514 9146 17485 18785 22865 34970 37570 45730 59449 77741 118898 155482 297245 388705 594490 777410 1010633 2021266 5053165 10106330