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101200003112 = 2313973076953
BaseRepresentation
bin101111000111111111…
…1011000000000101000
3100200012210122211001102
41132033333120000220
53124224200044422
6114253551140532
710211554555565
oct1361777300050
9320183584042
10101200003112
1139a1184420a
1217743814748
13970a305460
144c8059186c
152974776192
hex178ffd8028

101200003112 has 16 divisors (see below), whose sum is σ = 204346160340. Its totient is φ = 46707693696.

The previous prime is 101200003111. The next prime is 101200003141. The reversal of 101200003112 is 211300002101.

It can be written as a sum of positive squares in 2 ways, for example, as 88359940516 + 12840062596 = 297254^2 + 113314^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101200003093 and 101200003102.

It is not an unprimeable number, because it can be changed into a prime (101200003111) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 486538373 + ... + 486538580.

Almost surely, 2101200003112 is an apocalyptic number.

It is an amenable number.

101200003112 is an abundant number, since it is smaller than the sum of its proper divisors (103146157228).

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

101200003112 is a wasteful number, since it uses less digits than its factorization.

101200003112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973076972 (or 973076968 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 101200003112 its reverse (211300002101), we get a palindrome (312500005213).

The spelling of 101200003112 in words is "one hundred one billion, two hundred million, three thousand, one hundred twelve".

Divisors: 1 2 4 8 13 26 52 104 973076953 1946153906 3892307812 7784615624 12650000389 25300000778 50600001556 101200003112