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321012104033041 = 41157282291766617
BaseRepresentation
bin100100011111101010111010…
…0011011011111001100010001
31120002121110100110201002211221
41020333111310123133030101
5314033430242113024131
63054422531424205041
7124421234123035051
oct11077256433371421
91502543313632757
10321012104033041
1193314517a5a643
1230006368169781
1310a174085422c5
14593b0d6879561
15271a3dc8cb411
hex123f5746df311

321012104033041 has 16 divisors (see below), whose sum is σ = 330948111065040. Its totient is φ = 311176547435520.

The previous prime is 321012104033021. The next prime is 321012104033087. The reversal of 321012104033041 is 140330401210123.

It can be written as a sum of positive squares in 8 ways, for example, as 111866159822400 + 209145944210641 = 10576680^2 + 14461879^2 .

It is a cyclic number.

It is not a de Polignac number, because 321012104033041 - 235 = 320977744294673 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 321012104032997 and 321012104033015.

It is not an unprimeable number, because it can be changed into a prime (321012104033021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180826765 + ... + 182593381.

It is an arithmetic number, because the mean of its divisors is an integer number (20684256941565).

Almost surely, 2321012104033041 is an apocalyptic number.

It is an amenable number.

321012104033041 is a deficient number, since it is larger than the sum of its proper divisors (9936007031999).

321012104033041 is a wasteful number, since it uses less digits than its factorization.

321012104033041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1795044.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 321012104033041 its reverse (140330401210123), we get a palindrome (461342505243164).

The spelling of 321012104033041 in words is "three hundred twenty-one trillion, twelve billion, one hundred four million, thirty-three thousand, forty-one".

Divisors: 1 41 157 6437 28229 1157389 1766617 4431953 72431297 181710073 277358869 11371713629 49869831293 2044663083013 7829563513001 321012104033041