Search a number
-
+
131214041030001 = 33174395415691021
BaseRepresentation
bin11101110101011010100110…
…010011100001110101110001
3122012120221101010101121220110
4131311122212103201311301
5114144302324000430001
61143022522010331533
736431621154201156
oct3565324623416561
9565527333347813
10131214041030001
1138899620466a46
12128721b0a29ba9
13582a57ab16367
142458b1740022d
1510282a1cbe3d6
hex7756a64e1d71

131214041030001 has 64 divisors (see below), whose sum is σ = 176711505062400. Its totient is φ = 86603103590400.

The previous prime is 131214041029969. The next prime is 131214041030057. The reversal of 131214041030001 is 100030140412131.

It is not a de Polignac number, because 131214041030001 - 25 = 131214041029969 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 131214041030001.

It is not an unprimeable number, because it can be changed into a prime (131214041030701) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 128515220871 + ... + 128515221891.

It is an arithmetic number, because the mean of its divisors is an integer number (2761117266600).

Almost surely, 2131214041030001 is an apocalyptic number.

It is an amenable number.

131214041030001 is a deficient number, since it is larger than the sum of its proper divisors (45497464032399).

131214041030001 is a wasteful number, since it uses less digits than its factorization.

131214041030001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2890.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 131214041030001 its reverse (100030140412131), we get a palindrome (231244181442132).

The spelling of 131214041030001 in words is "one hundred thirty-one trillion, two hundred fourteen billion, forty-one million, thirty thousand, one".

Divisors: 1 3 317 439 541 569 951 1021 1317 1623 1707 3063 139163 171497 180373 237499 249791 307829 323657 417489 448219 514491 541119 552361 580949 712497 749373 923487 970971 1344657 1657083 1742847 75287183 79183747 97581793 135136931 142085423 175098437 184160833 225861549 237551241 242486479 255036611 292745379 314293409 405410793 426256269 525295311 552482499 727459437 765109833 942880227 42838407127 76868213843 80846605687 99631010653 128515221381 137974806551 230604641529 242539817061 298893031959 413924419653 43738013676667 131214041030001