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11311220000 = 2554797159
BaseRepresentation
bin10101000100011001…
…11000010100100000
31002012022001111211002
422202030320110200
5141131133020000
65110222411132
7550205532533
oct124214702440
932168044732
1011311220000
114884986003
122238130aa8
1310b35533b2
14794364a1a
154630678d5
hex2a2338520

11311220000 has 120 divisors (see below), whose sum is σ = 28183478400. Its totient is φ = 4466592000.

The previous prime is 11311219991. The next prime is 11311220033. The reversal of 11311220000 is 2211311.

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, 1576421 + ... + 1583579.

It is an arithmetic number, because the mean of its divisors is an integer number (234862320).

Almost surely, 211311220000 is an apocalyptic number.

11311220000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11311220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14091739200).

11311220000 is an abundant number, since it is smaller than the sum of its proper divisors (16872258400).

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

11311220000 is an frugal number, since it uses more digits than its factorization.

11311220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7268 (or 7245 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 11311220000 its reverse (2211311), we get a palindrome (11313431311).

The spelling of 11311220000 in words is "eleven billion, three hundred eleven million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 79 80 100 125 158 160 200 250 316 395 400 500 625 632 790 800 1000 1250 1264 1580 1975 2000 2500 2528 3160 3950 4000 5000 6320 7159 7900 9875 10000 12640 14318 15800 19750 20000 28636 31600 35795 39500 49375 57272 63200 71590 79000 98750 114544 143180 158000 178975 197500 229088 286360 316000 357950 395000 565561 572720 715900 790000 894875 1131122 1145440 1431800 1580000 1789750 2262244 2827805 2863600 3579500 4474375 4524488 5655610 5727200 7159000 8948750 9048976 11311220 14139025 14318000 17897500 18097952 22622440 28278050 28636000 35795000 45244880 56556100 70695125 71590000 90489760 113112200 141390250 143180000 226224400 282780500 353475625 452448800 565561000 706951250 1131122000 1413902500 2262244000 2827805000 5655610000 11311220000