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132140031201243 = 321323117591593227
BaseRepresentation
bin11110000010111000111111…
…100111101100111111011011
3122022212110111222021012112200
4132002320333213230333123
5114304440240441414433
61145012143045341243
736555542104606542
oct3602707747547733
9568773458235480
10132140031201243
11391162aa8030aa
12129a1759107823
13589699ccb4200
14248b87c47d159
1510423eadac613
hex782e3f9ecfdb

132140031201243 has 72 divisors (see below), whose sum is σ = 213469099683840. Its totient is φ = 78649027928640.

The previous prime is 132140031201239. The next prime is 132140031201257. The reversal of 132140031201243 is 342102130041231.

132140031201243 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 400 + 3 + 12 + 0 + 1 + 243 = 666.

It is not a de Polignac number, because 132140031201243 - 22 = 132140031201239 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132140031201223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 82141996 + ... + 83735222.

It is an arithmetic number, because the mean of its divisors is an integer number (2964848606720).

Almost surely, 2132140031201243 is an apocalyptic number.

132140031201243 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

132140031201243 is a deficient number, since it is larger than the sum of its proper divisors (81329068482597).

132140031201243 is a wasteful number, since it uses less digits than its factorization.

132140031201243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1595049 (or 1595033 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 132140031201243 its reverse (342102130041231), we get a palindrome (474242161242474).

The spelling of 132140031201243 in words is "one hundred thirty-two trillion, one hundred forty billion, thirty-one million, two hundred one thousand, two hundred forty-three".

Divisors: 1 3 9 13 31 39 93 117 169 279 403 507 1209 1521 1759 3627 5239 5277 15717 15831 22867 47151 54529 68601 163587 205803 297271 490761 708877 891813 1593227 2126631 2675439 4779681 6379893 9215401 14339043 20711951 27646203 49390037 62135853 82938609 148170111 186407559 269255363 444510333 642070481 807766089 1926211443 2423298267 2802486293 5778634329 8346916253 8407458879 25040748759 25222376637 36432321809 75122246277 86877075083 109296965427 260631225249 327890896281 473620183517 781893675747 1129401976079 1420860550551 3388205928237 4262581651653 10164617784711 14682225689027 44046677067081 132140031201243