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10120333 = 29461757
BaseRepresentation
bin100110100110…
…110010001101
3201001011111011
4212212302031
510042322313
61000525221
7152010226
oct46466215
921034434
1010120333
115792613
123480811
132134582
1414b624d
15d4d93d
hex9a6c8d

10120333 has 8 divisors (see below), whose sum is σ = 10505880. Its totient is φ = 9737280.

The previous prime is 10120309. The next prime is 10120339. The reversal of 10120333 is 33302101.

10120333 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1340964 + 8779369 = 1158^2 + 2963^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10120333 - 217 = 9989261 is a prime.

It is a super-2 number, since 2×101203332 = 204842280061778, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120339) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12991 + ... + 13747.

It is an arithmetic number, because the mean of its divisors is an integer number (1313235).

Almost surely, 210120333 is an apocalyptic number.

It is an amenable number.

10120333 is a deficient number, since it is larger than the sum of its proper divisors (385547).

10120333 is an equidigital number, since it uses as much as digits as its factorization.

10120333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247.

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 10120333 is about 3181.2470825134. The cubic root of 10120333 is about 216.3041910365.

Adding to 10120333 its reverse (33302101), we get a palindrome (43422434).

It can be divided in two parts, 1012033 and 3, that added together give a square (1012036 = 10062).

The spelling of 10120333 in words is "ten million, one hundred twenty thousand, three hundred thirty-three".

Divisors: 1 29 461 757 13369 21953 348977 10120333