Search a number
-
+
331213243120301 = 17316914027225859
BaseRepresentation
bin100101101001111001001011…
…1101100110111101010101101
31121102201200021101121200010202
41023103302113230313222231
5321403044210214322201
63132233132514043245
7126523236633426443
oct11323622754675255
91542650241550122
10331213243120301
1196597825036993
1231193418b79525
13112a73759a4909
145bb0b41080b93
15284593ac9ac6b
hex12d3c97b37aad

331213243120301 has 32 divisors (see below), whose sum is σ = 362624684175360. Its totient is φ = 301161586809600.

The previous prime is 331213243120289. The next prime is 331213243120337. The reversal of 331213243120301 is 103021342312133.

It is a cyclic number.

It is not a de Polignac number, because 331213243120301 - 26 = 331213243120237 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331213243120601) 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 31 ways as a sum of consecutive naturals, for example, 1466347310 + ... + 1466573168.

It is an arithmetic number, because the mean of its divisors is an integer number (11332021380480).

Almost surely, 2331213243120301 is an apocalyptic number.

331213243120301 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

331213243120301 is a deficient number, since it is larger than the sum of its proper divisors (31411441055059).

331213243120301 is a wasteful number, since it uses less digits than its factorization.

331213243120301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230625.

The product of its (nonzero) digits is 7776, while the sum is 29.

Adding to 331213243120301 its reverse (103021342312133), we get a palindrome (434234585432434).

The spelling of 331213243120301 in words is "three hundred thirty-one trillion, two hundred thirteen billion, two hundred forty-three million, one hundred twenty thousand, three hundred one".

Divisors: 1 17 31 527 691 4027 11747 21421 68459 124837 225859 364157 2122229 2782657 3839603 7001629 47305169 86262367 119027693 156068569 909534193 1466460239 2653165673 4838125639 15462081281 28195559983 82248135863 479324519711 628488127363 10684298165171 19483131948253 331213243120301