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100042011112 = 2312505251389
BaseRepresentation
bin101110100101011110…
…1111111000111101000
3100120020002200201122211
41131022331333013220
53114341223323422
6113543023254504
710141064030611
oct1351275770750
9316202621584
10100042011112
113947811a72a
121747ba4a434
13958442b7a4
144bb0878c08
152907c87577
hex174af7f1e8

100042011112 has 8 divisors (see below), whose sum is σ = 187578770850. Its totient is φ = 50021005552.

The previous prime is 100042011107. The next prime is 100042011127. The reversal of 100042011112 is 211110240001.

It can be written as a sum of positive squares in only one way, i.e., 98273472196 + 1768538916 = 313486^2 + 42054^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a junction number, because it is equal to n+sod(n) for n = 100042011092 and 100042011101.

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 as a sum of consecutive naturals, namely, 6252625687 + ... + 6252625702.

Almost surely, 2100042011112 is an apocalyptic number.

It is an amenable number.

100042011112 is a deficient number, since it is larger than the sum of its proper divisors (87536759738).

100042011112 is a wasteful number, since it uses less digits than its factorization.

100042011112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12505251395 (or 12505251391 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100042011112 its reverse (211110240001), we get a palindrome (311152251113).

The spelling of 100042011112 in words is "one hundred billion, forty-two million, eleven thousand, one hundred twelve".

Divisors: 1 2 4 8 12505251389 25010502778 50021005556 100042011112