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132210230120000 = 265417194426809
BaseRepresentation
bin11110000011111010010111…
…110011010100111001000000
3122100010011201020220202122122
4132003322113303110321000
5114312113022402320000
61145104312524023412
736563605515561344
oct3603722763247100
9570104636822578
10132210230120000
113914305320983a
12129b328a691b68
1358a04a96c7966
14249101b675624
151044158bb2085
hex783e97cd4e40

132210230120000 has 140 divisors (see below), whose sum is σ = 347123016062460. Its totient is φ = 49773262848000.

The previous prime is 132210230119999. The next prime is 132210230120063. The reversal of 132210230120000 is 21032012231.

It can be written as a sum of positive squares in 10 ways, for example, as 107338385459776 + 24871844660224 = 10360424^2 + 4987168^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 96533405 + ... + 97893404.

Almost surely, 2132210230120000 is an apocalyptic number.

132210230120000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132210230120000 is an abundant number, since it is smaller than the sum of its proper divisors (214912785942460).

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

132210230120000 is an equidigital number, since it uses as much as digits as its factorization.

132210230120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194426858 (or 194426833 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 132210230120000 its reverse (21032012231), we get a palindrome (132231262132231).

The spelling of 132210230120000 in words is "one hundred thirty-two trillion, two hundred ten billion, two hundred thirty million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 64 68 80 85 100 125 136 160 170 200 250 272 320 340 400 425 500 544 625 680 800 850 1000 1088 1250 1360 1600 1700 2000 2125 2500 2720 3400 4000 4250 5000 5440 6800 8000 8500 10000 10625 13600 17000 20000 21250 27200 34000 40000 42500 68000 85000 136000 170000 340000 680000 194426809 388853618 777707236 972134045 1555414472 1944268090 3110828944 3305255753 3888536180 4860670225 6221657888 6610511506 7777072360 9721340450 12443315776 13221023012 15554144720 16526278765 19442680900 24303351125 26442046024 31108289440 33052557530 38885361800 48606702250 52884092048 62216578880 66105115060 77770723600 82631393825 97213404500 105768184096 121516755625 132210230120 155541447200 165262787650 194426809000 211536368192 243033511250 264420460240 311082894400 330525575300 388853618000 413156969125 486067022500 528840920480 661051150600 777707236000 826313938250 972134045000 1057681840960 1322102301200 1555414472000 1652627876500 1944268090000 2065784845625 2644204602400 3305255753000 3888536180000 4131569691250 5288409204800 6610511506000 7777072360000 8263139382500 13221023012000 16526278765000 26442046024000 33052557530000 66105115060000 132210230120000