Search a number
-
+
243132050502 = 2321119931119841
BaseRepresentation
bin1110001001101111001…
…1001010110001000110
3212020120021211212120100
43202123303022301012
512440413301104002
6303405431344530
723365016221245
oct3423363126106
9766507755510
10243132050502
1194125782130
123b154522146
1319c0923bb53
14baa662a95c
1564cedd611c
hex389bccac46

243132050502 has 96 divisors (see below), whose sum is σ = 579449894400. Its totient is φ = 73066752000.

The previous prime is 243132050489. The next prime is 243132050503. The reversal of 243132050502 is 205050231342.

It is a happy number.

243132050502 is a `hidden beast` number, since 24 + 3 + 132 + 0 + 5 + 0 + 502 = 666.

243132050502 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-3 number, since 3×2431320505023 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243132050503) 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 47 ways as a sum of consecutive naturals, for example, 12244102 + ... + 12263942.

It is an arithmetic number, because the mean of its divisors is an integer number (6035936400).

Almost surely, 2243132050502 is an apocalyptic number.

243132050502 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 243132050502, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289724947200).

243132050502 is an abundant number, since it is smaller than the sum of its proper divisors (336317843898).

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

243132050502 is a wasteful number, since it uses less digits than its factorization.

243132050502 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20370 (or 20367 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 243132050502 its reverse (205050231342), we get a palindrome (448182281844).

The spelling of 243132050502 in words is "two hundred forty-three billion, one hundred thirty-two million, fifty thousand, five hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 199 311 398 597 622 933 1194 1791 1866 2189 2799 3421 3582 4378 5598 6567 6842 10263 13134 19701 19841 20526 30789 39402 39682 59523 61578 61889 119046 123778 178569 185667 218251 357138 371334 436502 557001 654753 680779 1114002 1309506 1361558 1964259 2042337 3928518 3948359 4084674 6127011 6170551 7896718 11845077 12254022 12341102 18511653 23690154 35535231 37023306 43431949 55534959 67876061 71070462 86863898 111069918 130295847 135752122 203628183 260591694 390887541 407256366 610884549 781775082 1221769098 1227939649 2455879298 3683818947 7367637894 11051456841 13507336139 22102913682 27014672278 40522008417 81044016834 121566025251 243132050502