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10233201 = 3111722937
BaseRepresentation
bin100111000010…
…010101110001
3201020220022110
4213002111301
510104430301
61003155533
7152660256
oct47022561
921226273
1010233201
11585a3a0
123515ba9
132173a64
14150542d
15d720d6
hex9c2571

10233201 has 48 divisors (see below), whose sum is σ = 16799040. Its totient is φ = 5483520.

The previous prime is 10233199. The next prime is 10233203.

It is a happy number.

10233201 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (10233199) and next prime (10233203).

It is not a de Polignac number, because 10233201 - 21 = 10233199 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10233203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 276555 + ... + 276591.

It is an arithmetic number, because the mean of its divisors is an integer number (349980).

Almost surely, 210233201 is an apocalyptic number.

10233201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10233201 is a deficient number, since it is larger than the sum of its proper divisors (6565839).

10233201 is a wasteful number, since it uses less digits than its factorization.

10233201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 10233201 is about 3198.9374798517. The cubic root of 10233201 is about 217.1053379436.

It can be divided in two parts, 1023 and 3201, that added together give a palindrome (4224).

The spelling of 10233201 in words is "ten million, two hundred thirty-three thousand, two hundred one".

Divisors: 1 3 11 17 29 33 37 51 87 111 187 289 319 407 493 561 629 867 957 1073 1221 1479 1887 3179 3219 5423 6919 8381 9537 10693 11803 16269 18241 20757 25143 32079 35409 54723 92191 117623 200651 276573 310097 352869 601953 930291 3411067 10233201