Search a number
-
+
321040404040123 = 171632331033148131
BaseRepresentation
bin100100011111111000000101…
…1001111011100100110111011
31120002201011101202011102100101
41020333300023033130212323
5314034411221413240443
63054443531531420231
7124423255331111245
oct11077601317344673
91502634352142311
10321040404040123
119332551a635849
123000b9458b4677
1310a19c98661121
14593c61d201095
15271aee715384d
hex123fc0b3dc9bb

321040404040123 has 32 divisors (see below), whose sum is σ = 343518804824832. Its totient is φ = 298977953817600.

The previous prime is 321040404040099. The next prime is 321040404040133.

321040404040123 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 321040404040123 - 25 = 321040404040091 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 321040404040091 and 321040404040100.

It is not an unprimeable number, because it can be changed into a prime (321040404040133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6670113768 + ... + 6670161898.

It is an arithmetic number, because the mean of its divisors is an integer number (10734962650776).

Almost surely, 2321040404040123 is an apocalyptic number.

321040404040123 is a deficient number, since it is larger than the sum of its proper divisors (22478400784709).

321040404040123 is a wasteful number, since it uses less digits than its factorization.

321040404040123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58875.

The product of its (nonzero) digits is 9216, while the sum is 28.

It can be divided in two parts, 32104040 and 4040123, that added together give a palindrome (36144163).

The spelling of 321040404040123 in words is "three hundred twenty-one trillion, forty billion, four hundred four million, forty thousand, one hundred twenty-three".

Divisors: 1 17 163 233 2771 3961 10331 37979 48131 175627 645643 818227 1683953 2407123 7845353 11214523 28627201 40921091 133371001 190646891 392361049 497241361 1827967249 6670137833 8453103137 31075443233 81050341843 115857237113 1377855811331 1969573030921 18884729649419 321040404040123