Search a number
-
+
10100300238 = 233738636917
BaseRepresentation
bin10010110100000011…
…00101100111001110
3222001220111102012000
421122001211213032
5131141134101423
64350124253130
7505203064320
oct113201454716
928056442160
1010100300238
1143133a1076
121b5a6a11a6
13c4c707822
146bb5d1610
153e1ac1843
hex25a0659ce

10100300238 has 64 divisors (see below), whose sum is σ = 25661905920. Its totient is φ = 2884635936.

The previous prime is 10100300233. The next prime is 10100300239. The reversal of 10100300238 is 83200300101.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10100300238.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100300233) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1456756 + ... + 1463672.

It is an arithmetic number, because the mean of its divisors is an integer number (400967280).

Almost surely, 210100300238 is an apocalyptic number.

10100300238 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

10100300238 is an abundant number, since it is smaller than the sum of its proper divisors (15561605682).

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

10100300238 is a wasteful number, since it uses less digits than its factorization.

10100300238 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10798 (or 10792 counting only the distinct ones).

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

Adding to 10100300238 its reverse (83200300101), we get a palindrome (93300600339).

The spelling of 10100300238 in words is "ten billion, one hundred million, three hundred thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 3863 6917 7726 11589 13834 20751 23178 27041 34767 41502 48419 54082 62253 69534 81123 96838 104301 124506 145257 162246 186759 208602 243369 290514 373518 435771 486738 730107 871542 1307313 1460214 2614626 26720371 53440742 80161113 160322226 187042597 240483339 374085194 480966678 561127791 721450017 1122255582 1442900034 1683383373 3366766746 5050150119 10100300238