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130121500045 = 51726112131217
BaseRepresentation
bin111100100101111011…
…0001000010110001101
3110102212101120002100111
41321023312020112031
54112442101000140
6135435455200021
712254350333615
oct1711366102615
9412771502314
10130121500045
1150203215999
1221275516011
13c369105454
146425695a45
1535b88637ea
hex1e4bd8858d

130121500045 has 48 divisors (see below), whose sum is σ = 168867973008. Its totient is φ = 96209141760.

The previous prime is 130121500037. The next prime is 130121500081. The reversal of 130121500045 is 540005121031.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 116212128201 + 13909371844 = 340899^2 + 117938^2 .

It is not a de Polignac number, because 130121500045 - 23 = 130121500037 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 130121499989 and 130121500025.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106919277 + ... + 106920493.

It is an arithmetic number, because the mean of its divisors is an integer number (3518082771).

Almost surely, 2130121500045 is an apocalyptic number.

It is an amenable number.

130121500045 is a deficient number, since it is larger than the sum of its proper divisors (38746472963).

130121500045 is a wasteful number, since it uses less digits than its factorization.

130121500045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2530 (or 2513 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

Adding to 130121500045 its reverse (540005121031), we get a palindrome (670126621076).

The spelling of 130121500045 in words is "one hundred thirty billion, one hundred twenty-one million, five hundred thousand, forty-five".

Divisors: 1 5 17 61 85 289 305 1037 1213 1217 1445 5185 6065 6085 17629 20621 20689 73993 74237 88145 103105 103445 350557 351713 369965 371185 1257881 1262029 1476221 1752785 1758565 6289405 6310145 7381105 21383977 21454493 25095757 90049481 106919885 107272465 125478785 426627869 450247405 1530841177 2133139345 7654205885 26024300009 130121500045