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211120120112 = 241110316769737
BaseRepresentation
bin1100010010011110111…
…1010110000100110000
3202011221022202022112212
43010213233112010300
511424333222320422
6240553124511252
721152516261156
oct3044757260460
9664838668485
10211120120112
1181598893010
1234abb84b528
1316ba70b32c5
14a30acdd3d6
15575983e9e2
hex3127bd6130

211120120112 has 80 divisors (see below), whose sum is σ = 453267988992. Its totient is φ = 94461596160.

The previous prime is 211120120093. The next prime is 211120120121. The reversal of 211120120112 is 211021021112.

It is a super-2 number, since 2×2111201201122 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2992508 + ... + 3062244.

Almost surely, 2211120120112 is an apocalyptic number.

211120120112 is a gapful number since it is divisible by the number (22) 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 211120120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226633994496).

211120120112 is an abundant number, since it is smaller than the sum of its proper divisors (242147868880).

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

211120120112 is a wasteful number, since it uses less digits than its factorization.

211120120112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70026 (or 70020 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 211120120112 its reverse (211021021112), we get a palindrome (422141141224).

The spelling of 211120120112 in words is "two hundred eleven billion, one hundred twenty million, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 88 103 167 176 206 334 412 668 824 1133 1336 1648 1837 2266 2672 3674 4532 7348 9064 14696 17201 18128 29392 34402 68804 69737 137608 139474 189211 275216 278948 378422 557896 756844 767107 1115792 1513688 1534214 3027376 3068428 6136856 7182911 11646079 12273712 14365822 23292158 28731644 46584316 57463288 79012021 93168632 114926576 128106869 158024042 186337264 256213738 316048084 512427476 632096168 1024854952 1199546137 1264192336 2049709904 2399092274 4798184548 9596369096 13195007507 19192738192 26390015014 52780030028 105560060056 211120120112