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2112002120020 = 22513173199235951
BaseRepresentation
bin11110101110111101001…
…000101101100101010100
321110220110001121001200111
4132232331020231211110
5234100340020320040
64254123531052404
7305405244550102
oct36567510554524
97426401531614
102112002120020
11744771156341
122a13a12a1104
1312421279b580
1474315920c72
1539e10c55dea
hex1ebbd22d954

2112002120020 has 96 divisors (see below), whose sum is σ = 4828144204800. Its totient is φ = 771409267200.

The previous prime is 2112002120017. The next prime is 2112002120021. The reversal of 2112002120020 is 200212002112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112002120021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8833045 + ... + 9068995.

It is an arithmetic number, because the mean of its divisors is an integer number (50293168800).

Almost surely, 22112002120020 is an apocalyptic number.

2112002120020 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 2112002120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2414072102400).

2112002120020 is an abundant number, since it is smaller than the sum of its proper divisors (2716142084780).

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

2112002120020 is a wasteful number, since it uses less digits than its factorization.

2112002120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236345 (or 236343 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2112002120020 its reverse (200212002112), we get a palindrome (2312214122132).

The spelling of 2112002120020 in words is "two trillion, one hundred twelve billion, two million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 173 199 260 346 398 692 796 865 995 1730 1990 2249 2587 3460 3980 4498 5174 8996 10348 11245 12935 22490 25870 34427 44980 51740 68854 137708 172135 235951 344270 447551 471902 688540 895102 943804 1179755 1790204 2237755 2359510 3067363 4475510 4719020 6134726 8951020 12269452 15336815 30673630 40819523 46954249 61347260 81639046 93908498 163278092 187816996 204097615 234771245 408195230 469542490 530653799 610405237 816390460 939084980 1061307598 1220810474 2122615196 2441620948 2653268995 3052026185 5306537990 6104052370 8123085077 10613075980 12208104740 16246170154 32492340308 40615425385 81230850770 105600106001 162461701540 211200212002 422400424004 528000530005 1056001060010 2112002120020