Search a number
-
+
131330413534101 = 31273111108357711
BaseRepresentation
bin11101110111000110111110…
…101001011001101110010101
3122020000001202022210100111220
4131313012332221121232111
5114203204141331042401
61143152205321120553
736443211035152605
oct3567067651315625
9566001668710456
10131330413534101
1138933a08732771
1212890869929159
135838535614342
1424605d6a7ac05
15102b313581336
hex7771bea59b95

131330413534101 has 16 divisors (see below), whose sum is σ = 177053494345728. Its totient is φ = 86584904305200.

The previous prime is 131330413534097. The next prime is 131330413534169. The reversal of 131330413534101 is 101435314033131.

It is not a de Polignac number, because 131330413534101 - 22 = 131330413534097 is a prime.

It is a super-2 number, since 2×1313304135341012 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131330413534301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 554060365 + ... + 554297346.

It is an arithmetic number, because the mean of its divisors is an integer number (11065843396608).

Almost surely, 2131330413534101 is an apocalyptic number.

It is an amenable number.

131330413534101 is a deficient number, since it is larger than the sum of its proper divisors (45723080811627).

131330413534101 is a wasteful number, since it uses less digits than its factorization.

131330413534101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108358152.

The product of its (nonzero) digits is 19440, while the sum is 33.

Adding to 131330413534101 its reverse (101435314033131), we get a palindrome (232765727567232).

The spelling of 131330413534101 in words is "one hundred thirty-one trillion, three hundred thirty billion, four hundred thirteen million, five hundred thirty-four thousand, one hundred one".

Divisors: 1 3 127 311 381 933 39497 118491 1108357711 3325073133 140761429297 344699248121 422284287891 1034097744363 43776804511367 131330413534101