Search a number
-
+
12332122301330 = 25137315737921839
BaseRepresentation
bin1011001101110100101111…
…0001001110001110010010
31121122221100210210010000122
42303131023301032032102
53104022141302120310
642121144311350242
72411652326003216
oct263351361161622
947587323703018
1012332122301330
113a250295a5577
12147206a982382
136b5bb64ac190
14308c40d7c946
15165bc06c8555
hexb374bc4e392

12332122301330 has 128 divisors (see below), whose sum is σ = 24452630092800. Its totient is φ = 4450440443904.

The previous prime is 12332122301299. The next prime is 12332122301333. The reversal of 12332122301330 is 3310322123321.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12332122301330.

It is not an unprimeable number, because it can be changed into a prime (12332122301333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 564672551 + ... + 564694389.

It is an arithmetic number, because the mean of its divisors is an integer number (191036172600).

Almost surely, 212332122301330 is an apocalyptic number.

12332122301330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12332122301330 is a deficient number, since it is larger than the sum of its proper divisors (12120507791470).

12332122301330 is a wasteful number, since it uses less digits than its factorization.

12332122301330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22468.

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 12332122301330 its reverse (3310322123321), we get a palindrome (15642444424651).

The spelling of 12332122301330 in words is "twelve trillion, three hundred thirty-two billion, one hundred twenty-two million, three hundred one thousand, three hundred thirty".

Divisors: 1 2 5 10 13 26 65 73 130 146 157 314 365 379 730 758 785 949 1570 1895 1898 2041 3790 4082 4745 4927 9490 9854 10205 11461 20410 21839 22922 24635 27667 43678 49270 55334 57305 59503 109195 114610 119006 138335 148993 218390 276670 283907 297515 297986 359671 567814 595030 719342 744965 773539 1419535 1489930 1547078 1594247 1798355 2839070 3188494 3428723 3596710 3867695 4343719 6857446 7735390 7971235 8276981 8687438 15942470 16553962 17143615 20725211 21718595 34287230 41384905 41450422 43437190 44573399 56468347 82769810 89146798 103626055 107600753 112936694 207252110 215201506 222866995 250296779 282341735 445733990 500593558 538003765 564683470 604219613 1076007530 1208439226 1251483895 1299486017 2502967790 2598972034 3021098065 3253858127 6042196130 6497430085 6507716254 7854854969 12994860170 15709709938 16269290635 16893318221 32538581270 33786636442 39274274845 78548549690 84466591105 94862479241 168933182210 189724958482 474312396205 948624792410 1233212230133 2466424460266 6166061150665 12332122301330