Search a number
-
+
323312303221001 = 2922921301163409
BaseRepresentation
bin100100110000011010000001…
…0111111000010100100001001
31120101202100120022021210001222
41021200310002333002210021
5314334122044111033001
63103343342135451425
7125046354162401423
oct11140640277024411
91511670508253058
10323312303221001
1194020a83485576
1230318110226b75
1310b532b0c66a73
1459ba582abb813
15275a1657b161b
hex1260d02fc2909

323312303221001 has 24 divisors (see below), whose sum is σ = 336188174376600. Its totient is φ = 310559649254400.

The previous prime is 323312303220997. The next prime is 323312303221003. The reversal of 323312303221001 is 100122303213323.

It can be written as a sum of positive squares in 12 ways, for example, as 73758879713401 + 249553423507600 = 8588299^2 + 15797260^2 .

It is not a de Polignac number, because 323312303221001 - 22 = 323312303220997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (323312303221003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1978464785 + ... + 1978628193.

It is an arithmetic number, because the mean of its divisors is an integer number (14007840599025).

Almost surely, 2323312303221001 is an apocalyptic number.

It is an amenable number.

323312303221001 is a deficient number, since it is larger than the sum of its proper divisors (12875871155599).

323312303221001 is a wasteful number, since it uses less digits than its factorization.

323312303221001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165197 (or 164968 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 323312303221001 its reverse (100122303213323), we get a palindrome (423434606434324).

The spelling of 323312303221001 in words is "three hundred twenty-three trillion, three hundred twelve billion, three hundred three million, two hundred twenty-one thousand, one".

Divisors: 1 29 229 1301 6641 37729 52441 163409 297929 1520789 4738861 8639941 37420661 68225741 212595109 1085199169 1978546489 6165258161 8569331369 48684279961 248510609701 1411844118869 11148700111069 323312303221001