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130133312031 = 34719110094789
BaseRepresentation
bin111100100110010001…
…1001100001000011111
3110102220012210012100110
41321030203030020133
54113003111441111
6135441000301103
712254552621112
oct1711443141037
9412805705313
10130133312031
1150209953468
1221279471793
13c36b6ac9a8
14642708c579
1535b98e85a6
hex1e4c8cc21f

130133312031 has 32 divisors (see below), whose sum is σ = 178344345600. Its totient is φ = 84363793920.

The previous prime is 130133312027. The next prime is 130133312051. The reversal of 130133312031 is 130213331031.

It is not a de Polignac number, because 130133312031 - 22 = 130133312027 is a prime.

It is a super-2 number, since 2×1301333120312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130133311989 and 130133312007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130133312011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27170985 + ... + 27175773.

It is an arithmetic number, because the mean of its divisors is an integer number (5573260800).

Almost surely, 2130133312031 is an apocalyptic number.

130133312031 is a deficient number, since it is larger than the sum of its proper divisors (48211033569).

130133312031 is a wasteful number, since it uses less digits than its factorization.

130133312031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6039.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 130133312031 its reverse (130213331031), we get a palindrome (260346643062).

The spelling of 130133312031 in words is "one hundred thirty billion, one hundred thirty-three million, three hundred twelve thousand, thirty-one".

Divisors: 1 3 47 141 191 573 1009 3027 4789 8977 14367 26931 47423 142269 192719 225083 578157 675249 914699 2744097 4832101 9057793 14496303 27173379 42990853 128972559 227108747 681326241 922931291 2768793873 43377770677 130133312031