Search a number
-
+
1114121320000 = 2654132142541
BaseRepresentation
bin10000001101100110110…
…011100011011001000000
310221111202000211011001121
4100031212303203121000
5121223210024220000
62211453102242024
7143330651652463
oct20154663433100
93844660734047
101114121320000
1139a550492797
1215bb10b86314
13810a4583b20
143bcd0b212da
151deaa59ab1a
hex10366ce3640

1114121320000 has 140 divisors (see below), whose sum is σ = 2975172386956. Its totient is φ = 411367680000.

The previous prime is 1114121319991. The next prime is 1114121320093. The reversal of 1114121320000 is 231214111.

It can be written as a sum of positive squares in 10 ways, for example, as 1086864630784 + 27256689216 = 1042528^2 + 165096^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 551271 + ... + 1591270.

Almost surely, 21114121320000 is an apocalyptic number.

1114121320000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1114121320000 is an abundant number, since it is smaller than the sum of its proper divisors (1861051066956).

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

1114121320000 is an equidigital number, since it uses as much as digits as its factorization.

1114121320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2142586 (or 2142561 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 1114121320000 its reverse (231214111), we get a palindrome (1114352534111).

The spelling of 1114121320000 in words is "one trillion, one hundred fourteen billion, one hundred twenty-one million, three hundred twenty thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 125 130 160 200 208 250 260 320 325 400 416 500 520 625 650 800 832 1000 1040 1250 1300 1600 1625 2000 2080 2500 2600 3250 4000 4160 5000 5200 6500 8000 8125 10000 10400 13000 16250 20000 20800 26000 32500 40000 52000 65000 104000 130000 260000 520000 2142541 4285082 8570164 10712705 17140328 21425410 27853033 34280656 42850820 53563525 55706066 68561312 85701640 107127050 111412132 137122624 139265165 171403280 214254100 222824264 267817625 278530330 342806560 428508200 445648528 535635250 557060660 685613120 696325825 857016400 891297056 1071270500 1114121320 1339088125 1392651650 1714032800 1782594112 2142541000 2228242640 2678176250 2785303300 3428065600 3481629125 4285082000 4456485280 5356352500 5570606600 6963258250 8570164000 8912970560 10712705000 11141213200 13926516500 17140328000 17408145625 21425410000 22282426400 27853033000 34816291250 42850820000 44564852800 55706066000 69632582500 85701640000 111412132000 139265165000 222824264000 278530330000 557060660000 1114121320000