Search a number
-
+
1231313330000 = 2454139471641
BaseRepresentation
bin10001111010101111111…
…111100101111101010000
311100201020100021002102102
4101322233333211331100
5130133212203030000
62341354005535532
7154650043421225
oct21725777457520
94321210232372
101231313330000
11435219302416
1217a7784145a8
138c15caa4240
144384b16394c
1522068c893d5
hex11eaffe5f50

1231313330000 has 100 divisors (see below), whose sum is σ = 3210450942468. Its totient is φ = 454638720000.

The previous prime is 1231313329969. The next prime is 1231313330033. The reversal of 1231313330000 is 333131321.

It can be written as a sum of positive squares in 10 ways, for example, as 1202979014416 + 28334315584 = 1096804^2 + 168328^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-3 number, since 3×12313133300003 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 4605821 + ... + 4865820.

Almost surely, 21231313330000 is an apocalyptic number.

1231313330000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1231313330000 is an abundant number, since it is smaller than the sum of its proper divisors (1979137612468).

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

1231313330000 is an equidigital number, since it uses as much as digits as its factorization.

1231313330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9471682 (or 9471661 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 1231313330000 its reverse (333131321), we get a palindrome (1231646461321).

The spelling of 1231313330000 in words is "one trillion, two hundred thirty-one billion, three hundred thirteen million, three hundred thirty thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 625 650 1000 1040 1250 1300 1625 2000 2500 2600 3250 5000 5200 6500 8125 10000 13000 16250 26000 32500 65000 130000 9471641 18943282 37886564 47358205 75773128 94716410 123131333 151546256 189432820 236791025 246262666 378865640 473582050 492525332 615656665 757731280 947164100 985050664 1183955125 1231313330 1894328200 1970101328 2367910250 2462626660 3078283325 3788656400 4735820500 4925253320 5919775625 6156566650 9471641000 9850506640 11839551250 12313133300 15391416625 18943282000 23679102500 24626266600 30782833250 47358205000 49252533200 61565666500 76957083125 94716410000 123131333000 153914166250 246262666000 307828332500 615656665000 1231313330000