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10240013238 = 237313382747
BaseRepresentation
bin10011000100101101…
…00011001110110110
3222102122101120101120
421202112203032312
5131432420410423
64412035004410
7511520451000
oct114226431666
928378346346
1010240013238
114385247564
121b99439706
13c72644340
146d1d9d370
153edebcee3
hex2625a33b6

10240013238 has 64 divisors (see below), whose sum is σ = 25720665600. Its totient is φ = 2700655776.

The previous prime is 10240013237. The next prime is 10240013243. The reversal of 10240013238 is 83231004201.

10240013238 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×102400132382 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10240013233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164620 + ... + 218127.

It is an arithmetic number, because the mean of its divisors is an integer number (401885400).

Almost surely, 210240013238 is an apocalyptic number.

10240013238 is an abundant number, since it is smaller than the sum of its proper divisors (15480652362).

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

10240013238 is a wasteful number, since it uses less digits than its factorization.

10240013238 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382786 (or 382772 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 10240013238 its reverse (83231004201), we get a palindrome (93471017439).

The spelling of 10240013238 in words is "ten billion, two hundred forty million, thirteen thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 78 91 98 147 182 273 294 343 546 637 686 1029 1274 1911 2058 3822 4459 8918 13377 26754 382747 765494 1148241 2296482 2679229 4975711 5358458 8037687 9951422 14927133 16075374 18754603 29854266 34829977 37509206 56263809 69659954 104489931 112527618 131282221 208979862 243809839 262564442 393846663 487619678 731429517 787693326 1462859034 1706668873 3413337746 5120006619 10240013238