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2122001112 = 23371110111369
BaseRepresentation
bin111111001111011…
…0010101011011000
312110212220211021210
41332132302223120
513321213013422
6550321503120
7103404466110
oct17636625330
95425824253
102122001112
119998a5930
124b27a1aa0
1327a82207a
14161b76040
15c646110c
hex7e7b2ad8

2122001112 has 128 divisors (see below), whose sum is σ = 6680102400. Its totient is φ = 545664000.

The previous prime is 2122001099. The next prime is 2122001129. The reversal of 2122001112 is 2111002212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 180964 + ... + 192332.

It is an arithmetic number, because the mean of its divisors is an integer number (52188300).

Almost surely, 22122001112 is an apocalyptic number.

2122001112 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 2122001112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3340051200).

2122001112 is an abundant number, since it is smaller than the sum of its proper divisors (4558101288).

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

2122001112 is a wasteful number, since it uses less digits than its factorization.

2122001112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11497 (or 11493 counting only the distinct ones).

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

The square root of 2122001112 is about 46065.1832949789. The cubic root of 2122001112 is about 1285.0357274305.

Adding to 2122001112 its reverse (2111002212), we get a palindrome (4233003324).

It can be divided in two parts, 212200 and 1112, that added together give a palindrome (213312).

The spelling of 2122001112 in words is "two billion, one hundred twenty-two million, one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 101 132 154 168 202 231 264 303 308 404 462 606 616 707 808 924 1111 1212 1414 1848 2121 2222 2424 2828 3333 4242 4444 5656 6666 7777 8484 8888 11369 13332 15554 16968 22738 23331 26664 31108 34107 45476 46662 62216 68214 79583 90952 93324 125059 136428 159166 186648 238749 250118 272856 318332 375177 477498 500236 636664 750354 875413 954996 1000472 1148269 1500708 1750826 1909992 2296538 2626239 3001416 3444807 3501652 4593076 5252478 6889614 7003304 8037883 9186152 10504956 12630959 13779228 16075766 21009912 24113649 25261918 27558456 32151532 37892877 48227298 50523836 64303064 75785754 88416713 96454596 101047672 151571508 176833426 192909192 265250139 303143016 353666852 530500278 707333704 1061000556 2122001112