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11355120520000 = 2654299788897
BaseRepresentation
bin1010010100111101000111…
…1011001100101101000000
31111012112112212120020121021
42211033101323030231000
52442020241323120000
640052245332435224
72251244320614325
oct245172173145500
944175485506537
1011355120520000
113688752562774
121334846a78b14
13644a24acaa6a
142b383b0bcb4c
1514a58d01e11a
hexa53d1eccb40

11355120520000 has 140 divisors (see below), whose sum is σ = 29127942777780. Its totient is φ = 4385425408000.

The previous prime is 11355120519997. The next prime is 11355120520021. The reversal of 11355120520000 is 2502155311.

It can be written as a sum of positive squares in 10 ways, for example, as 9522606000384 + 1832514519616 = 3085872^2 + 1353704^2 .

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

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, 3734449 + ... + 6054448.

It is an arithmetic number, because the mean of its divisors is an integer number (208056734127).

Almost surely, 211355120520000 is an apocalyptic number.

11355120520000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11355120520000 is an abundant number, since it is smaller than the sum of its proper divisors (17772822257780).

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

11355120520000 is an frugal number, since it uses more digits than its factorization.

11355120520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9788958 (or 9788933 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 25.

Adding to 11355120520000 its reverse (2502155311), we get a palindrome (11357622675311).

The spelling of 11355120520000 in words is "eleven trillion, three hundred fifty-five billion, one hundred twenty million, five hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 64 80 100 116 125 145 160 200 232 250 290 320 400 464 500 580 625 725 800 928 1000 1160 1250 1450 1600 1856 2000 2320 2500 2900 3625 4000 4640 5000 5800 7250 8000 9280 10000 11600 14500 18125 20000 23200 29000 36250 40000 46400 58000 72500 116000 145000 232000 290000 580000 1160000 9788897 19577794 39155588 48944485 78311176 97888970 156622352 195777940 244722425 283878013 313244704 391555880 489444850 567756026 626489408 783111760 978889700 1135512052 1223612125 1419390065 1566223520 1957779400 2271024104 2447224250 2838780130 3132447040 3915558800 4542048208 4894448500 5677560260 6118060625 7096950325 7831117600 9084096416 9788897000 11355120520 12236121250 14193900650 15662235200 18168192832 19577794000 22710241040 24472242500 28387801300 35484751625 39155588000 45420482080 48944485000 56775602600 70969503250 78311176000 90840964160 97888970000 113551205200 141939006500 177423758125 195777940000 227102410400 283878013000 354847516250 391555880000 454204820800 567756026000 709695032500 1135512052000 1419390065000 2271024104000 2838780130000 5677560260000 11355120520000