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2011316880 = 2435231991831
BaseRepresentation
bin111011111100010…
…0100001010010000
312012011122111001210
41313320210022100
513104344120010
6531325300120
7100561624416
oct16770441220
95164574053
102011316880
11942377161
12481704640
1326090a441
141511a32b6
15bb89ab20
hex77e24290

2011316880 has 160 divisors (see below), whose sum is σ = 6542438400. Its totient is φ = 510174720.

The previous prime is 2011316851. The next prime is 2011316933. The reversal of 2011316880 is 886131102.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1097565 + ... + 1099395.

It is an arithmetic number, because the mean of its divisors is an integer number (40890240).

Almost surely, 22011316880 is an apocalyptic number.

2011316880 is a gapful number since it is divisible by the number (20) 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 2011316880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3271219200).

2011316880 is an abundant number, since it is smaller than the sum of its proper divisors (4531121520).

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

2011316880 is a wasteful number, since it uses less digits than its factorization.

2011316880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2069 (or 2063 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 2011316880 is about 44847.7076337242. The cubic root of 2011316880 is about 1262.2929775895.

Adding to 2011316880 its reverse (886131102), we get a palindrome (2897447982).

The spelling of 2011316880 in words is "two billion, eleven million, three hundred sixteen thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 199 230 240 276 345 368 398 460 552 597 690 796 920 995 1104 1194 1380 1592 1831 1840 1990 2388 2760 2985 3184 3662 3980 4577 4776 5493 5520 5970 7324 7960 9154 9155 9552 10986 11940 13731 14648 15920 18308 18310 21972 22885 23880 27462 27465 29296 36616 36620 42113 43944 45770 47760 54924 54930 68655 73232 73240 84226 87888 91540 109848 109860 126339 137310 146480 168452 183080 210565 219696 219720 252678 274620 336904 364369 366160 421130 439440 505356 549240 631695 673808 728738 842260 1010712 1093107 1098480 1263390 1457476 1684520 1821845 2021424 2186214 2526780 2914952 3369040 3643690 4372428 5053560 5465535 5829904 7287380 8380487 8744856 10107120 10931070 14574760 16760974 17489712 21862140 25141461 29149520 33521948 41902435 43724280 50282922 67043896 83804870 87448560 100565844 125707305 134087792 167609740 201131688 251414610 335219480 402263376 502829220 670438960 1005658440 2011316880