Search a number
-
+
11235222340000 = 25542919371073
BaseRepresentation
bin1010001101111110011101…
…1011111100000110100000
31110210002001221222121212221
42203133213123330012200
52433034213404340000
635521220114400424
72236501166114251
oct243374733740640
943702057877787
1011235222340000
11364191612250a
121315565290114
13636627a43719
142abb054bcb28
151473c1e7c61a
hexa37e76fc1a0

11235222340000 has 120 divisors (see below), whose sum is σ = 28593448620660. Its totient is φ = 4339120128000.

The previous prime is 11235222339953. The next prime is 11235222340009. The reversal of 11235222340000 is 4322253211.

It can be written as a sum of positive squares in 10 ways, for example, as 703457948176 + 10531764391824 = 838724^2 + 3245268^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (11235222340009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9105537 + ... + 10265536.

Almost surely, 211235222340000 is an apocalyptic number.

11235222340000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11235222340000 is an abundant number, since it is smaller than the sum of its proper divisors (17358226280660).

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

11235222340000 is an equidigital number, since it uses as much as digits as its factorization.

11235222340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19371132 (or 19371109 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 11235222340000 its reverse (4322253211), we get a palindrome (11239544593211).

The spelling of 11235222340000 in words is "eleven trillion, two hundred thirty-five billion, two hundred twenty-two million, three hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 80 100 116 125 145 160 200 232 250 290 400 464 500 580 625 725 800 928 1000 1160 1250 1450 2000 2320 2500 2900 3625 4000 4640 5000 5800 7250 10000 11600 14500 18125 20000 23200 29000 36250 58000 72500 116000 145000 290000 580000 19371073 38742146 77484292 96855365 154968584 193710730 309937168 387421460 484276825 561761117 619874336 774842920 968553650 1123522234 1549685840 1937107300 2247044468 2421384125 2808805585 3099371680 3874214600 4494088936 4842768250 5617611170 7748429200 8988177872 9685536500 11235222340 12106920625 14044027925 15496858400 17976355744 19371073000 22470444680 24213841250 28088055850 38742146000 44940889360 48427682500 56176111700 70220139625 77484292000 89881778720 96855365000 112352223400 140440279250 193710730000 224704446800 280880558500 351100698125 387421460000 449408893600 561761117000 702201396250 1123522234000 1404402792500 2247044468000 2808805585000 5617611170000 11235222340000