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10113210 = 2325373037
BaseRepresentation
bin100110100101…
…000010111010
3201000210201100
4212211002322
510042110320
61000432230
7151650402
oct46450272
921023640
1010113210
115788228
123478676
132131263
1414b3802
15d4b790
hex9a50ba

10113210 has 48 divisors (see below), whose sum is σ = 27013896. Its totient is φ = 2623104.

The previous prime is 10113209. The next prime is 10113211. The reversal of 10113210 is 1231101.

It is an interprime number because it is at equal distance from previous prime (10113209) and next prime (10113211).

It can be written as a sum of positive squares in 4 ways, for example, as 10093329 + 19881 = 3177^2 + 141^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10113192 and 10113201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10113211) 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 23 ways as a sum of consecutive naturals, for example, 1812 + ... + 4848.

Almost surely, 210113210 is an apocalyptic number.

10113210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10113210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13506948).

10113210 is an abundant number, since it is smaller than the sum of its proper divisors (16900686).

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

10113210 is a wasteful number, since it uses less digits than its factorization.

10113210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3087 (or 3084 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 10113210 is about 3180.1273559403. The cubic root of 10113210 is about 216.2534319568.

Adding to 10113210 its reverse (1231101), we get a palindrome (11344311).

The spelling of 10113210 in words is "ten million, one hundred thirteen thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 3037 3330 6074 9111 15185 18222 27333 30370 45555 54666 91110 112369 136665 224738 273330 337107 561845 674214 1011321 1123690 1685535 2022642 3371070 5056605 10113210