Search a number
-
+
130012132131 = 347323203459
BaseRepresentation
bin111100100010101010…
…0111011001100100011
3110102120202202121210000
41321011110323030203
54112231101212011
6135420551111043
712251551614000
oct1710524731443
9412522677700
10130012132131
1150157506192
1221244972483
13c34c5619cb
146414d468a7
1535ade5d356
hex1e4553b323

130012132131 has 80 divisors (see below), whose sum is σ = 236339136000. Its totient is φ = 71062182576.

The previous prime is 130012132111. The next prime is 130012132139. The reversal of 130012132131 is 131231210031.

130012132131 is a `hidden beast` number, since 1 + 300 + 12 + 1 + 321 + 31 = 666.

It is not a de Polignac number, because 130012132131 - 25 = 130012132099 is a prime.

It is a super-2 number, since 2×1300121321312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (130012132139) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 537280 + ... + 740738.

It is an arithmetic number, because the mean of its divisors is an integer number (2954239200).

Almost surely, 2130012132131 is an apocalyptic number.

130012132131 is a deficient number, since it is larger than the sum of its proper divisors (106327003869).

130012132131 is an equidigital number, since it uses as much as digits as its factorization.

130012132131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203515 (or 203492 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 130012132131 its reverse (131231210031), we get a palindrome (261243342162).

The spelling of 130012132131 in words is "one hundred thirty billion, twelve million, one hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 23 27 49 63 69 81 147 161 189 207 343 441 483 567 621 1029 1127 1323 1449 1863 3087 3381 3969 4347 7889 9261 10143 13041 23667 27783 30429 71001 91287 203459 213003 610377 639009 1424213 1831131 4272639 4679557 5493393 9969491 12817917 14038671 16480179 29908473 32756899 38453751 42116013 69786437 89725419 98270697 115361253 126348039 209359311 229298293 269176257 294812091 379044117 628077933 687894879 807528771 884436273 1605088051 1884233799 2063684637 2653308819 4815264153 5652701397 6191053911 14445792459 18573161733 43337377377 130012132131