Search a number
-
+
10203138 = 2331189193
BaseRepresentation
bin100110111011…
…000000000010
3201012101002000
4212323000002
510103000023
61002404430
7152503521
oct46730002
921171060
1010203138
115839850
123500716
13216317a
1414d84b8
15d68243
hex9bb002

10203138 has 64 divisors (see below), whose sum is σ = 25142400. Its totient is φ = 3041280.

The previous prime is 10203119. The next prime is 10203181. The reversal of 10203138 is 83130201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 10203138.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52770 + ... + 52962.

It is an arithmetic number, because the mean of its divisors is an integer number (392850).

Almost surely, 210203138 is an apocalyptic number.

10203138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10203138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12571200).

10203138 is an abundant number, since it is smaller than the sum of its proper divisors (14939262).

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

10203138 is a wasteful number, since it uses less digits than its factorization.

10203138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 10203138 is about 3194.2351197118. The cubic root of 10203138 is about 216.8925260802.

Adding to 10203138 its reverse (83130201), we get a palindrome (93333339).

The spelling of 10203138 in words is "ten million, two hundred three thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 89 99 178 193 198 267 297 386 534 579 594 801 979 1158 1602 1737 1958 2123 2403 2937 3474 4246 4806 5211 5874 6369 8811 10422 12738 17177 17622 19107 26433 34354 38214 51531 52866 57321 103062 114642 154593 188947 309186 377894 463779 566841 927558 1133682 1700523 3401046 5101569 10203138