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1000101222012 = 223412032726061
BaseRepresentation
bin11101000110110101010…
…11011001011001111100
310112121102202220000222110
432203122223121121330
5112341201403101022
62043235024014020
7132153304060644
oct16433253313174
93477382800873
101000101222012
11356160081552
121419aba61310
1373403249619
1436595a75524
151b0355ad00c
hexe8daad967c

1000101222012 has 24 divisors (see below), whose sum is σ = 2390485848912. Its totient is φ = 325236169600.

The previous prime is 1000101222011. The next prime is 1000101222013. The reversal of 1000101222012 is 2102221010001.

It is an interprime number because it is at equal distance from previous prime (1000101222011) and next prime (1000101222013).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000101222011) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1016362539 + ... + 1016363522.

It is an arithmetic number, because the mean of its divisors is an integer number (99603577038).

Almost surely, 21000101222012 is an apocalyptic number.

1000101222012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1000101222012 is an abundant number, since it is smaller than the sum of its proper divisors (1390384626900).

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

1000101222012 is a wasteful number, since it uses less digits than its factorization.

1000101222012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2032726109 (or 2032726107 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1000101222012 its reverse (2102221010001), we get a palindrome (3102322232013).

The spelling of 1000101222012 in words is "one trillion, one hundred one million, two hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 12 41 82 123 164 246 492 2032726061 4065452122 6098178183 8130904244 12196356366 24392712732 83341768501 166683537002 250025305503 333367074004 500050611006 1000101222012