Search a number
-
+
30198854106 = 23319271313347
BaseRepresentation
bin11100000111111111…
…011111000111011010
32212221121110201221000
4130013333133013122
5443321401312411
621512334125430
72116233011301
oct340777370732
985847421830
1030198854106
1111897514073
125a29650876
132b0363a955
141666a0d438
15bbb308956
hex707fdf1da

30198854106 has 128 divisors (see below), whose sum is σ = 71332761600. Its totient is φ = 9443640960.

The previous prime is 30198854099. The next prime is 30198854129. The reversal of 30198854106 is 60145889103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 87028225 + ... + 87028571.

It is an arithmetic number, because the mean of its divisors is an integer number (557287200).

Almost surely, 230198854106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30198854106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35666380800).

30198854106 is an abundant number, since it is smaller than the sum of its proper divisors (41133907494).

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

30198854106 is a wasteful number, since it uses less digits than its factorization.

30198854106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 30198854106 in words is "thirty billion, one hundred ninety-eight million, eight hundred fifty-four thousand, one hundred six".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 271 313 342 347 513 542 626 694 813 939 1026 1041 1626 1878 2082 2439 2817 3123 4878 5149 5634 5947 6246 6593 7317 8451 9369 10298 11894 13186 14634 15447 16902 17841 18738 19779 30894 35682 39558 46341 53523 59337 84823 92682 94037 107046 108611 118674 139023 160569 169646 178011 188074 217222 254469 278046 282111 321138 325833 356022 508938 564222 651666 763407 846333 977499 1526814 1611637 1692666 1786703 1954998 2063609 2290221 2538999 2932497 3223274 3573406 4127218 4580442 4834911 5077998 5360109 5864994 6190827 9669822 10720218 12381654 14504733 16080327 18572481 29009466 29433581 32160654 37144962 43514199 48240981 55717443 58867162 87028398 88300743 96481962 111434886 176601486 264902229 529804458 559238039 794706687 1118476078 1589413374 1677714117 3355428234 5033142351 10066284702 15099427053 30198854106