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1003002211112 = 231121036159309
BaseRepresentation
bin11101001100001111001…
…01110010101100101000
310112212220221121112220012
432212013211302230220
5112413122031223422
62044434534151052
7132315221061056
oct16460745625450
93485827545805
101003002211112
11357409666600
1214247b4b2488
1373776275615
143678d0671d6
151b1550e54e2
hexe987972b28

1003002211112 has 24 divisors (see below), whose sum is σ = 2067137823450. Its totient is φ = 455910095520.

The previous prime is 1003002211111. The next prime is 1003002211171. The reversal of 1003002211112 is 2111122003001.

1003002211112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 944150362276 + 58851848836 = 971674^2 + 242594^2 .

It is a super-2 number, since 2×10030022111122 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1003002211111) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 518078687 + ... + 518080622.

Almost surely, 21003002211112 is an apocalyptic number.

It is an amenable number.

1003002211112 is an abundant number, since it is smaller than the sum of its proper divisors (1064135612338).

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

1003002211112 is a wasteful number, since it uses less digits than its factorization.

1003002211112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036159337 (or 1036159322 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 1003002211112 its reverse (2111122003001), we get a palindrome (3114124214113).

The spelling of 1003002211112 in words is "one trillion, three billion, two million, two hundred eleven thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 1036159309 2072318618 4144637236 8289274472 11397752399 22795504798 45591009596 91182019192 125375276389 250750552778 501501105556 1003002211112