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130112312001 = 3737193867641
BaseRepresentation
bin111100100101101001…
…1000101001011000001
3110102211202021021201120
41321023103011023001
54112432222441001
6135434530222453
712254206255410
oct1711323051301
9412752237646
10130112312001
11501a900a871
1221272424a29
13c367239339
146424383477
1535b7b4b236
hex1e4b4c52c1

130112312001 has 32 divisors (see below), whose sum is σ = 204680218368. Its totient is φ = 71965532160.

The previous prime is 130112311991. The next prime is 130112312051. The reversal of 130112312001 is 100213211031.

It is a happy number.

It is not a de Polignac number, because 130112312001 - 25 = 130112311969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (130112312051) 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 31 ways as a sum of consecutive naturals, for example, 283860 + ... + 583781.

It is an arithmetic number, because the mean of its divisors is an integer number (6396256824).

Almost surely, 2130112312001 is an apocalyptic number.

It is an amenable number.

130112312001 is a deficient number, since it is larger than the sum of its proper divisors (74567906367).

130112312001 is a wasteful number, since it uses less digits than its factorization.

130112312001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867881.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 130112312001 its reverse (100213211031), we get a palindrome (230325523032).

The spelling of 130112312001 in words is "one hundred thirty billion, one hundred twelve million, three hundred twelve thousand, one".

Divisors: 1 3 7 21 37 111 193 259 579 777 1351 4053 7141 21423 49987 149961 867641 2602923 6073487 18220461 32102717 96308151 167454713 224719019 502364139 674157057 1172182991 3516548973 6195824381 18587473143 43370770667 130112312001