Search a number
-
+
10035523113 = 3711171927079
BaseRepresentation
bin10010101100010100…
…11110111000101001
3221220101121101200020
421112022132320221
5131023043214423
64335452031053
7503455352610
oct112612367051
927811541606
1010035523113
11428a878060
121b40a62489
13c3c177375
146b2b6c877
153db0784e3
hex25629ee29

10035523113 has 96 divisors (see below), whose sum is σ = 18644981760. Its totient is φ = 4647697920.

The previous prime is 10035523103. The next prime is 10035523117. The reversal of 10035523113 is 31132553001.

10035523113 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10035523113 - 212 = 10035519017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10035523117) 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 95 ways as a sum of consecutive naturals, for example, 1414108 + ... + 1421186.

It is an arithmetic number, because the mean of its divisors is an integer number (194218560).

Almost surely, 210035523113 is an apocalyptic number.

It is an amenable number.

10035523113 is a deficient number, since it is larger than the sum of its proper divisors (8609458647).

10035523113 is a wasteful number, since it uses less digits than its factorization.

10035523113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7155 (or 7136 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

The spelling of 10035523113 in words is "ten billion, thirty-five million, five hundred twenty-three thousand, one hundred thirteen".

Divisors: 1 3 7 11 17 19 21 33 51 57 77 119 133 187 209 231 323 357 361 399 561 627 969 1083 1309 1463 2261 2527 3553 3927 3971 4389 6137 6783 7079 7581 10659 11913 18411 21237 24871 27797 42959 49553 67507 74613 77869 83391 120343 128877 134501 148659 202521 233607 361029 403503 472549 545083 842401 941507 1323773 1417647 1479511 1635249 2286517 2527203 2555519 2824521 3971319 4438533 6859551 7666557 9266411 10356577 16005619 17888633 25151687 27799233 28110709 31069731 43443823 48016857 53665899 75455061 84332127 130331469 176061809 196774963 304106761 477882053 528185427 590324889 912320283 1433646159 3345174371 10035523113