Search a number
-
+
2110002000112 = 2419101130752579
BaseRepresentation
bin11110101101000101111…
…010110111000011110000
321110201021200000102222101
4132231011322313003300
5234032241003000422
64253153241350144
7305304550035526
oct36550572670360
97421250012871
102110002000112
11743935137686
122a0b23498354
13123c842b1776
14741a6034316
1539d4536cc27
hex1eb45eb70f0

2110002000112 has 80 divisors (see below), whose sum is σ = 4349308233600. Its totient is φ = 988802899200.

The previous prime is 2110002000077. The next prime is 2110002000137.

2110002000112 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 40103839 + ... + 40156417.

It is an arithmetic number, because the mean of its divisors is an integer number (54366352920).

Almost surely, 22110002000112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2110002000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2174654116800).

2110002000112 is an abundant number, since it is smaller than the sum of its proper divisors (2239306233488).

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

2110002000112 is a wasteful number, since it uses less digits than its factorization.

2110002000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54014 (or 54008 counting only the distinct ones).

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

The spelling of 2110002000112 in words is "two trillion, one hundred ten billion, two million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 8 16 19 38 76 101 152 202 304 404 808 1307 1616 1919 2614 3838 5228 7676 10456 15352 20912 24833 30704 49666 52579 99332 105158 132007 198664 210316 264014 397328 420632 528028 841264 999001 1056056 1998002 2112112 2508133 3996004 5016266 5310479 7992008 10032532 10620958 15984016 20065064 21241916 40130128 42483832 68720753 84967664 100899101 137441506 201798202 274883012 403596404 549766024 807192808 1099532048 1305694307 1614385616 2611388614 5222777228 6940796053 10445554456 13881592106 20891108912 27763184212 55526368424 111052736848 131875125007 263750250014 527500500028 1055001000056 2110002000112