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132330321123 = 3711131731791423
BaseRepresentation
bin111101100111110000…
…0000111010011100011
3110122120022211211020120
41323033200013103203
54132003030233443
6140443002011323
712363161112330
oct1731740072343
9418508754216
10132330321123
115113701a960
12217911a6b43
13c62b904b80
146594b8b987
153697724083
hex1ecf8074e3

132330321123 has 128 divisors (see below), whose sum is σ = 239767879680. Its totient is φ = 62691770880.

The previous prime is 132330321121. The next prime is 132330321127. The reversal of 132330321123 is 321123033231.

It is not a de Polignac number, because 132330321123 - 21 = 132330321121 is a prime.

It is a super-3 number, since 3×1323303211233 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 132330321093 and 132330321102.

It is not an unprimeable number, because it can be changed into a prime (132330321121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 92993190 + ... + 92994612.

It is an arithmetic number, because the mean of its divisors is an integer number (1873186560).

Almost surely, 2132330321123 is an apocalyptic number.

132330321123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

132330321123 is a deficient number, since it is larger than the sum of its proper divisors (107437558557).

132330321123 is a wasteful number, since it uses less digits than its factorization.

132330321123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1809.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 132330321123 its reverse (321123033231), we get a palindrome (453453354354).

The spelling of 132330321123 in words is "one hundred thirty-two billion, three hundred thirty million, three hundred twenty-one thousand, one hundred twenty-three".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 173 179 231 273 429 519 537 1001 1211 1253 1423 1903 1969 2249 2327 3003 3633 3759 4269 5709 5907 6747 6981 9961 13321 13783 15653 15743 16289 18499 24739 25597 29883 30967 39963 41349 46959 47229 48867 55497 74217 76791 92901 109571 129493 173173 179179 203489 216769 246179 254717 328713 340637 388479 402571 519519 537537 610467 650307 738537 764151 1021911 1207713 1424423 1723253 1783019 2384459 2707969 2801887 2817997 3200327 3311321 4273269 4428281 5169759 5349057 7153377 8123907 8405661 8453991 9600981 9933963 13284843 18955783 19613209 22402289 23179247 30997967 35203597 36424531 44066041 56867349 58839627 67206867 69537741 92993901 105610791 109273593 132198123 246425179 254971717 308462287 484726451 572858533 739275537 764915151 925386861 1454179353 1718575599 3393085157 4010009731 6301443863 10179255471 12030029193 18904331589 44110107041 132330321123