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2112110022 = 23111773107241
BaseRepresentation
bin111110111100100…
…0011110111000110
312110012022022021010
41331321003313012
513311200010042
6545325503050
7103224432111
oct17571036706
95405268233
102112110022
1199425a580
124ab411a86
1327876ac59
1416071d578
15c565a59c
hex7de43dc6

2112110022 has 128 divisors (see below), whose sum is σ = 5013093888. Its totient is φ = 586137600.

The previous prime is 2112110009. The next prime is 2112110027. The reversal of 2112110022 is 2200112112.

It is a super-2 number, since 2×21121100222 = 8922017490065680968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112110027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8763822 + ... + 8764062.

It is an arithmetic number, because the mean of its divisors is an integer number (39164796).

Almost surely, 22112110022 is an apocalyptic number.

2112110022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112110022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2506546944).

2112110022 is an abundant number, since it is smaller than the sum of its proper divisors (2900983866).

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

2112110022 is a wasteful number, since it uses less digits than its factorization.

2112110022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454.

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 2112110022 is about 45957.6981799568. The cubic root of 2112110022 is about 1283.0360106103.

Adding to 2112110022 its reverse (2200112112), we get a palindrome (4312222134).

The spelling of 2112110022 in words is "two billion, one hundred twelve million, one hundred ten thousand, twenty-two".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 73 102 107 146 187 214 219 241 321 374 438 482 561 642 723 803 1122 1177 1241 1446 1606 1819 2354 2409 2482 2651 3531 3638 3723 4097 4818 5302 5457 7062 7446 7811 7953 8194 10914 12291 13651 15622 15906 17593 20009 23433 24582 25787 27302 35186 40018 40953 45067 46866 51574 52779 60027 77361 81906 85921 90134 105558 120054 132787 135201 154722 171842 193523 257763 265574 270402 283657 299081 387046 398361 438379 515526 567314 580569 598162 796722 850971 876758 897243 1161138 1315137 1460657 1701942 1794486 1882451 2630274 2921314 3289891 3764902 4381971 4822169 5647353 6579782 8763942 9644338 9869673 11294706 14466507 19739346 20706961 28933014 32001667 41413922 62120883 64003334 96005001 124241766 192010002 352018337 704036674 1056055011 2112110022