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130000012101 = 3453177717041
BaseRepresentation
bin111100100010010011…
…0101100001101000101
3110102112220221212020000
41321010212230031011
54112220000341401
6135415435231513
712251343604431
oct1710446541505
9412486855200
10130000012101
1150150688233
12212408a8599
13c349baa1ab
1464134ad9c1
1535acd67186
hex1e449ac345

130000012101 has 40 divisors (see below), whose sum is σ = 197984616984. Its totient is φ = 84978616320.

The previous prime is 130000012099. The next prime is 130000012141. The reversal of 130000012101 is 101210000031.

It can be written as a sum of positive squares in 4 ways, for example, as 60319851201 + 69680160900 = 245601^2 + 263970^2 .

It is not a de Polignac number, because 130000012101 - 21 = 130000012099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130000012141) 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 39 ways as a sum of consecutive naturals, for example, 7620141 + ... + 7637181.

Almost surely, 2130000012101 is an apocalyptic number.

It is an amenable number.

130000012101 is a deficient number, since it is larger than the sum of its proper divisors (67984604883).

130000012101 is a wasteful number, since it uses less digits than its factorization.

130000012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18883 (or 18874 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 130000012101 its reverse (101210000031), we get a palindrome (231210012132).

The spelling of 130000012101 in words is "one hundred thirty billion, twelve thousand, one hundred one".

Divisors: 1 3 9 27 53 81 159 477 1431 1777 4293 5331 15993 17041 47979 51123 94181 143937 153369 282543 460107 847629 903173 1380321 2542887 2709519 7628661 8128557 24385671 30281857 73157013 90845571 272536713 817610139 1604938421 2452830417 4814815263 14444445789 43333337367 130000012101