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2000112112000 = 2753125007007
BaseRepresentation
bin11101000110101111111…
…110001101000110000000
321002012122020210201201101
4131012233332031012000
5230232212200041000
64130501103544144
7264334433304142
oct35065776150600
97065566721641
102000112112000
11701274165232
122837755bb054
131167c0858b32
146cb3d714c92
1537062c75e6a
hex1d1aff8d180

2000112112000 has 64 divisors (see below), whose sum is σ = 4972778778240. Its totient is φ = 800044838400.

The previous prime is 2000112111989. The next prime is 2000112112001. The reversal of 2000112112000 is 2112110002.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000112112001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62487504 + ... + 62519503.

It is an arithmetic number, because the mean of its divisors is an integer number (77699668410).

Almost surely, 22000112112000 is an apocalyptic number.

2000112112000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2000112112000 is an abundant number, since it is smaller than the sum of its proper divisors (2972666666240).

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

2000112112000 is an equidigital number, since it uses as much as digits as its factorization.

2000112112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125007036 (or 125007014 counting only the distinct ones).

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

Adding to 2000112112000 its reverse (2112110002), we get a palindrome (2002224222002).

It can be divided in two parts, 2000112 and 112000, that added together give a palindrome (2112112).

The spelling of 2000112112000 in words is "two trillion, one hundred twelve million, one hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 640 800 1000 1600 2000 3200 4000 8000 16000 125007007 250014014 500028028 625035035 1000056056 1250070070 2000112112 2500140140 3125175175 4000224224 5000280280 6250350350 8000448448 10000560560 12500700700 15625875875 16000896896 20001121120 25001401400 31251751750 40002242240 50002802800 62503503500 80004484480 100005605600 125007007000 200011211200 250014014000 400022422400 500028028000 1000056056000 2000112112000