Search a number
-
+
243132205155 = 3576121135507
BaseRepresentation
bin1110001001101111001…
…1110000100001100011
3212020120022010201201020
43202123303300201203
512440413321031110
6303405434540523
723365020434160
oct3423363604143
9766508121636
10243132205155
1194125878344
123b154597743
1319c09294368
14baa666b067
1564cee16d70
hex389bcf0863

243132205155 has 96 divisors (see below), whose sum is σ = 456075090432. Its totient is φ = 108336936960.

The previous prime is 243132205133. The next prime is 243132205159. The reversal of 243132205155 is 551502231342.

243132205155 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 243132205155 - 26 = 243132205091 is a prime.

It is a super-2 number, since 2×2431322051552 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (243132205159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44146912 + ... + 44152418.

It is an arithmetic number, because the mean of its divisors is an integer number (4750782192).

Almost surely, 2243132205155 is an apocalyptic number.

243132205155 is a deficient number, since it is larger than the sum of its proper divisors (212942885277).

243132205155 is a wasteful number, since it uses less digits than its factorization.

243132205155 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5757 (or 5696 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

Adding to 243132205155 its reverse (551502231342), we get a palindrome (794634436497).

The spelling of 243132205155 in words is "two hundred forty-three billion, one hundred thirty-two million, two hundred five thousand, one hundred fifty-five".

Divisors: 1 3 5 7 15 21 35 61 105 113 183 305 339 427 565 791 915 1281 1695 2135 2373 3721 3955 5507 6405 6893 11163 11865 16521 18605 20679 26047 27535 34465 38549 48251 55815 78141 82605 103395 115647 130235 144753 192745 241255 335927 390705 420473 578235 622291 723765 1007781 1261419 1679635 1866873 2102365 2351489 2943311 3111455 4356037 5038905 6307095 7054467 8829933 9334365 11757445 13068111 14716555 20491547 21780185 35272335 37959751 44149665 61474641 65340555 102457735 113879253 143440829 189798755 265718257 307373205 430322487 569396265 717204145 797154771 1328591285 2151612435 2315544811 3985773855 6946634433 11577724055 16208813677 34733172165 48626441031 81044068385 243132205155