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1001110000010 = 251720292902357
BaseRepresentation
bin11101001000101101100…
…11100101000110001010
310112201001002002021020112
432210112303211012022
5112400233130000020
62043523101354322
7132220303411451
oct16442663450612
93481032067215
101001110000010
1135662855037a
121420318689a2
137353423b093
143664da29b98
151b093e252c5
hexe916ce518a

1001110000010 has 32 divisors (see below), whose sum is σ = 1908938903760. Its totient is φ = 376702589952.

The previous prime is 1001109999979. The next prime is 1001110000013. The reversal of 1001110000010 is 100000111001.

It can be written as a sum of positive squares in 8 ways, for example, as 677113391161 + 323996608849 = 822869^2 + 569207^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a junction number, because it is equal to n+sod(n) for n = 1001109999949 and 1001110000003.

It is not an unprimeable number, because it can be changed into a prime (1001110000013) 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 15 ways as a sum of consecutive naturals, for example, 1106249 + ... + 1796108.

Almost surely, 21001110000010 is an apocalyptic number.

1001110000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1001110000010 is a deficient number, since it is larger than the sum of its proper divisors (907828903750).

1001110000010 is a wasteful number, since it uses less digits than its factorization.

1001110000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2904410.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 1001110000010 its reverse (100000111001), we get a palindrome (1101110111011).

The spelling of 1001110000010 in words is "one trillion, one billion, one hundred ten million, ten", and thus it is an aban number.

Divisors: 1 2 5 10 17 34 85 170 2029 4058 10145 20290 34493 68986 172465 344930 2902357 5804714 14511785 29023570 49340069 98680138 246700345 493400690 5888882353 11777764706 29444411765 58888823530 100111000001 200222000002 500555000005 1001110000010