Search a number
-
+
11342123320000 = 26541125777553
BaseRepresentation
bin1010010100001100101100…
…1110110100001011000000
31111011022000002001002000111
42211003023032310023000
52441312132032220000
640042255521401104
72250304250341054
oct245031316641300
944138002032014
1011342123320000
113683192a1aa70
12133221a199194
13643733199685
142b2d66c81c64
1514a07be71cba
hexa50cb3b42c0

11342123320000 has 140 divisors (see below), whose sum is σ = 30681578983176. Its totient is φ = 4124408320000.

The previous prime is 11342123319997. The next prime is 11342123320001. The reversal of 11342123320000 is 2332124311.

It is a super-2 number, since 2×113421233200002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (11342123320001) 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, 12448777 + ... + 13328776.

Almost surely, 211342123320000 is an apocalyptic number.

11342123320000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11342123320000 is an abundant number, since it is smaller than the sum of its proper divisors (19339455663176).

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

11342123320000 is an equidigital number, since it uses as much as digits as its factorization.

11342123320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25777596 (or 25777571 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 11342123320000 its reverse (2332124311), we get a palindrome (11344455444311).

The spelling of 11342123320000 in words is "eleven trillion, three hundred forty-two billion, one hundred twenty-three million, three hundred twenty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 160 176 200 220 250 275 320 352 400 440 500 550 625 704 800 880 1000 1100 1250 1375 1600 1760 2000 2200 2500 2750 3520 4000 4400 5000 5500 6875 8000 8800 10000 11000 13750 17600 20000 22000 27500 40000 44000 55000 88000 110000 220000 440000 25777553 51555106 103110212 128887765 206220424 257775530 283553083 412440848 515551060 567106166 644438825 824881696 1031102120 1134212332 1288877650 1417765415 1649763392 2062204240 2268424664 2577755300 2835530830 3222194125 4124408480 4536849328 5155510600 5671061660 6444388250 7088827075 8248816960 9073698656 10311021200 11342123320 12888776500 14177654150 16110970625 18147397312 20622042400 22684246640 25777553000 28355308300 32221941250 35444135375 41244084800 45368493280 51555106000 56710616600 64443882500 70888270750 90736986560 103110212000 113421233200 128887765000 141776541500 177220676875 206220424000 226842466400 257775530000 283553083000 354441353750 453684932800 515551060000 567106166000 708882707500 1031102120000 1134212332000 1417765415000 2268424664000 2835530830000 5671061660000 11342123320000