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2110120012 = 22711131927737
BaseRepresentation
bin111110111000101…
…1110000001001100
312110001120012111001
41331301132001030
513310142320022
6545215110044
7103201503250
oct17561360114
95401505431
102110120012
11993120440
124aa812324
13278222230
14160362260
15c53b5b27
hex7dc5e04c

2110120012 has 96 divisors (see below), whose sum is σ = 5219182080. Its totient is φ = 718917120.

The previous prime is 2110120007. The next prime is 2110120013. The reversal of 2110120012 is 2100210112.

It is not an unprimeable number, because it can be changed into a prime (2110120013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62208 + ... + 89944.

It is an arithmetic number, because the mean of its divisors is an integer number (54366480).

Almost surely, 22110120012 is an apocalyptic number.

2110120012 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 2110120012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2609591040).

2110120012 is an abundant number, since it is smaller than the sum of its proper divisors (3109062068).

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

2110120012 is a wasteful number, since it uses less digits than its factorization.

2110120012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27791 (or 27789 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 2110120012 is about 45936.0426245013. The cubic root of 2110120012 is about 1282.6329292101.

Adding to 2110120012 its reverse (2100210112), we get a palindrome (4210330124).

The spelling of 2110120012 in words is "two billion, one hundred ten million, one hundred twenty thousand, twelve".

Divisors: 1 2 4 7 11 13 14 19 22 26 28 38 44 52 76 77 91 133 143 154 182 209 247 266 286 308 364 418 494 532 572 836 988 1001 1463 1729 2002 2717 2926 3458 4004 5434 5852 6916 10868 19019 27737 38038 55474 76076 110948 194159 305107 360581 388318 527003 610214 721162 776636 1054006 1220428 1442324 2108012 2135749 2524067 3689021 3966391 4271498 5048134 5797033 6851039 7378042 7932782 8542996 10096268 11594066 13702078 14756084 15865564 23188132 27404156 27764737 40579231 47957273 55529474 75361429 81158462 95914546 111058948 150722858 162316924 191829092 301445716 527530003 1055060006 2110120012