Search a number
-
+
30543532400205 = 3251126191958429
BaseRepresentation
bin1101111000111011110000…
…11001100001111001001101
311000010221012021210112100100
412330131320121201321031
513000411123243301310
6144543301032521313
76301461130512336
oct674357031417115
9130127167715310
1030543532400205
119806491854100
12351365b250239
1314073204114c6
14778459d7128d
1537e7925a0ec0
hex1bc778661e4d

30543532400205 has 72 divisors (see below), whose sum is σ = 59146558674840. Its totient is φ = 14566214995200.

The previous prime is 30543532400167. The next prime is 30543532400219. The reversal of 30543532400205 is 50200423534503.

30543532400205 is a `hidden beast` number, since 3 + 0 + 5 + 43 + 5 + 3 + 2 + 400 + 205 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3531584321001 + 27011948079204 = 1879251^2 + 5197302^2 .

It is not a de Polignac number, because 30543532400205 - 26 = 30543532400141 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 30543532400205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 45647070 + ... + 46311359.

It is an arithmetic number, because the mean of its divisors is an integer number (821479981595).

Almost surely, 230543532400205 is an apocalyptic number.

It is an amenable number.

30543532400205 is a deficient number, since it is larger than the sum of its proper divisors (28603026274635).

30543532400205 is a wasteful number, since it uses less digits than its factorization.

30543532400205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91958523 (or 91958509 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 36.

Adding to 30543532400205 its reverse (50200423534503), we get a palindrome (80743955934708).

The spelling of 30543532400205 in words is "thirty trillion, five hundred forty-three billion, five hundred thirty-two million, four hundred thousand, two hundred five".

Divisors: 1 3 5 9 11 15 33 45 55 61 99 121 165 183 305 363 495 549 605 671 915 1089 1815 2013 2745 3355 5445 6039 7381 10065 22143 30195 36905 66429 110715 332145 91958429 275875287 459792145 827625861 1011542719 1379376435 3034628157 4138129305 5057713595 5609464169 9103884471 11126969909 15173140785 16828392507 28047320845 33380909727 45519422355 50485177521 55634849545 61704105859 84141962535 100142729181 166904548635 185112317577 252425887605 308520529295 500713645905 555336952731 678745164449 925561587885 2036235493347 2776684763655 3393725822245 6108706480041 10181177466735 30543532400205