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2000112120105 = 3511181373179549
BaseRepresentation
bin11101000110101111111…
…110001111000100101001
321002012122020211010211120
4131012233332033010221
5230232212200320410
64130501104045453
7264334433336601
oct35065776170451
97065566733746
102000112120105
11701274170330
12283775603889
131167c085c728
146cb3d717c01
1537062c78570
hex1d1aff8f129

2000112120105 has 64 divisors (see below), whose sum is σ = 3519823507200. Its totient is φ = 961802726400.

The previous prime is 2000112120103. The next prime is 2000112120109. The reversal of 2000112120105 is 5010212110002.

It is not a de Polignac number, because 2000112120105 - 21 = 2000112120103 is a prime.

It is a super-3 number, since 3×20001121201053 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (2000112120103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11049871 + ... + 11229419.

It is an arithmetic number, because the mean of its divisors is an integer number (54997242300).

Almost surely, 22000112120105 is an apocalyptic number.

It is an amenable number.

2000112120105 is a deficient number, since it is larger than the sum of its proper divisors (1519711387095).

2000112120105 is a wasteful number, since it uses less digits than its factorization.

2000112120105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180122.

The product of its (nonzero) digits is 40, while the sum is 15.

Adding to 2000112120105 its reverse (5010212110002), we get a palindrome (7010324230107).

The spelling of 2000112120105 in words is "two trillion, one hundred twelve million, one hundred twenty thousand, one hundred five".

Divisors: 1 3 5 11 15 33 55 165 181 373 543 905 1119 1865 1991 2715 4103 5595 5973 9955 12309 20515 29865 61545 67513 179549 202539 337565 538647 742643 897745 1012695 1975039 2227929 2693235 3713215 5925117 9875195 11139645 29625585 32498369 66971777 97495107 162491845 200915331 334858885 357482059 487475535 736689547 1004576655 1072446177 1787410295 2210068641 3683447735 5362230885 11050343205 12121891637 36365674911 60609458185 133340808007 181828374555 400022424021 666704040035 2000112120105