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130012233010133 = 371572142555241
BaseRepresentation
bin11101100011111011010100…
…111101110000101111010101
3122001100001022001120120221012
4131203323110331300233111
5114020110023122311013
61140302443441502005
736246034222446155
oct3543732475605725
9561301261516835
10130012233010133
1138475973138861
12126b92a9941905
135771140a91116
1424168a8b12765
151006db34e41a8
hex763ed4f70bd5

130012233010133 has 12 divisors (see below), whose sum is σ = 134381979755172. Its totient is φ = 125692665770880.

The previous prime is 130012233010111. The next prime is 130012233010211. The reversal of 130012233010133 is 331010332210031.

It can be written as a sum of positive squares in 6 ways, for example, as 3959136898564 + 126053096111569 = 1989758^2 + 11227337^2 .

It is not a de Polignac number, because 130012233010133 - 218 = 130012232747989 is a prime.

It is a super-2 number, since 2×1300122330101332 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 130012233010099 and 130012233010108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130012233010733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70365608 + ... + 72189633.

It is an arithmetic number, because the mean of its divisors is an integer number (11198498312931).

Almost surely, 2130012233010133 is an apocalyptic number.

It is an amenable number.

130012233010133 is a deficient number, since it is larger than the sum of its proper divisors (4369746745039).

130012233010133 is an equidigital number, since it uses as much as digits as its factorization.

130012233010133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142555592 (or 142555435 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 130012233010133 its reverse (331010332210031), we get a palindrome (461022565220164).

The spelling of 130012233010133 in words is "one hundred thirty trillion, twelve billion, two hundred thirty-three million, ten thousand, one hundred thirty-three".

Divisors: 1 37 157 5809 24649 912013 142555241 5274543917 22381172837 828103394969 3513844135409 130012233010133