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1033103030013 = 32653811755697
BaseRepresentation
bin11110000100010011011…
…11010011011011111101
310122202121201121120210200
433002021233103123331
5113411243333430023
62110333451154113
7134432153602425
oct17021157233375
93582551546720
101033103030013
1136915580033a
12148280145939
13765624a9b72
1438006a37485
151bd179d6743
hexf089bd36fd

1033103030013 has 12 divisors (see below), whose sum is σ = 1492283606268. Its totient is φ = 688724426880.

The previous prime is 1033103029969. The next prime is 1033103030123. The reversal of 1033103030013 is 3100303013301.

1033103030013 is a `hidden beast` number, since 1 + 0 + 331 + 0 + 30 + 300 + 1 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 159509975769 + 873593054244 = 399387^2 + 934662^2 .

It is not a de Polignac number, because 1033103030013 - 28 = 1033103029757 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1033103030413) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 289420 + ... + 1466277.

It is an arithmetic number, because the mean of its divisors is an integer number (124356967189).

Almost surely, 21033103030013 is an apocalyptic number.

It is an amenable number.

1033103030013 is a deficient number, since it is larger than the sum of its proper divisors (459180576255).

1033103030013 is a wasteful number, since it uses less digits than its factorization.

1033103030013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1821084 (or 1821081 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 1033103030013 its reverse (3100303013301), we get a palindrome (4133406043314).

The spelling of 1033103030013 in words is "one trillion, thirty-three billion, one hundred three million, thirty thousand, thirteen".

Divisors: 1 3 9 65381 196143 588429 1755697 5267091 15801273 114789225557 344367676671 1033103030013