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130023223333029 = 32131111309601137
BaseRepresentation
bin11101100100000101100100…
…000010100001000010100101
3122001101002122222210211200100
4131210011210002201002211
5114020300030133124104
61140311502202334313
736246603453605655
oct3544054402410245
9561332588724610
10130023223333029
113847a5a2967044
12126bb4564ba399
1357721a29aab70
14241722c5c4365
1510073082c1139
hex7641640a10a5

130023223333029 has 12 divisors (see below), whose sum is σ = 202258347407116. Its totient is φ = 80014291281792.

The previous prime is 130023223333027. The next prime is 130023223333067. The reversal of 130023223333029 is 920333322320031.

130023223333029 is a `hidden beast` number, since 1 + 300 + 2 + 322 + 3 + 3 + 3 + 3 + 0 + 29 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 88619442164100 + 41403781168929 = 9413790^2 + 6434577^2 .

It is not a de Polignac number, because 130023223333029 - 21 = 130023223333027 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 130023223332984 and 130023223333002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130023223333027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 555654800452 + ... + 555654800685.

Almost surely, 2130023223333029 is an apocalyptic number.

It is an amenable number.

130023223333029 is a deficient number, since it is larger than the sum of its proper divisors (72235124074087).

130023223333029 is a wasteful number, since it uses less digits than its factorization.

130023223333029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111309601156 (or 1111309601153 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 36.

The spelling of 130023223333029 in words is "one hundred thirty trillion, twenty-three billion, two hundred twenty-three million, three hundred thirty-three thousand, twenty-nine".

Divisors: 1 3 9 13 39 117 1111309601137 3333928803411 10001786410233 14447024814781 43341074444343 130023223333029