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320013230001031 = 72233019493719051
BaseRepresentation
bin100100011000011001110001…
…0111001011100101110000111
31112222001222002012222210002001
41020300303202321130232013
5313421044043340013111
63052340014235130131
7124256123106615400
oct11060634271345607
91488058065883061
10320013230001031
1192a69937676106
122ba8485b2a3947
131097416c61a118
145904a19bb09a7
1526ee429e2a1c1
hex1230ce2e5cb87

320013230001031 has 48 divisors (see below), whose sum is σ = 388673292015360. Its totient is φ = 262217297865600.

The previous prime is 320013230000993. The next prime is 320013230001097. The reversal of 320013230001031 is 130100032310023.

It is not a de Polignac number, because 320013230001031 - 27 = 320013230000903 is a prime.

It is a super-3 number, since 3×3200132300010313 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320013230001331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16797703456 + ... + 16797722506.

It is an arithmetic number, because the mean of its divisors is an integer number (8097360250320).

Almost surely, 2320013230001031 is an apocalyptic number.

320013230001031 is a deficient number, since it is larger than the sum of its proper divisors (68660062014329).

320013230001031 is a wasteful number, since it uses less digits than its factorization.

320013230001031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27044 (or 27037 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 320013230001031 its reverse (130100032310023), we get a palindrome (450113262311054).

The spelling of 320013230001031 in words is "three hundred twenty trillion, thirteen billion, two hundred thirty million, one thousand, thirty-one".

Divisors: 1 7 23 49 161 1127 3019 4937 19051 21133 34559 69437 113551 133357 147931 241913 438173 486059 794857 933499 3067211 3402413 5563999 14904803 21470477 57514969 94054787 104333621 342810469 402604783 658383509 730335347 1322844287 2163260101 2399673283 2818233481 4608684563 9259910009 15142820707 16797712981 64819370063 105999744949 283951401953 1987659813671 6530882244919 13913618695697 45716175714433 320013230001031