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223312311001 = 1365293263089
BaseRepresentation
bin1100111111111001110…
…0110111001011011001
3210100102000111210020101
43033332130313023121
512124320422423001
6250331021455401
722063613216203
oct3177634671331
9710360453211
10223312311001
1186784a8352a
1237342a11561
131809acc9840
14ab46269773
155c1edc5a01
hex33fe7372d9

223312311001 has 8 divisors (see below), whose sum is σ = 240494778440. Its totient is φ = 206130500352.

The previous prime is 223312310917. The next prime is 223312311029. The reversal of 223312311001 is 100113213322.

It can be written as a sum of positive squares in 4 ways, for example, as 22590390601 + 200721920400 = 150301^2 + 448020^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 223312311001 - 221 = 223310213849 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 223312311001.

It is not an unprimeable number, because it can be changed into a prime (223312311041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 717265 + ... + 980353.

It is an arithmetic number, because the mean of its divisors is an integer number (30061847305).

Almost surely, 2223312311001 is an apocalyptic number.

It is an amenable number.

223312311001 is a deficient number, since it is larger than the sum of its proper divisors (17182467439).

223312311001 is a wasteful number, since it uses less digits than its factorization.

223312311001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328395.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 223312311001 its reverse (100113213322), we get a palindrome (323425524323).

It can be divided in two parts, 22331 and 2311001, that added together give a palindrome (2333332).

The spelling of 223312311001 in words is "two hundred twenty-three billion, three hundred twelve million, three hundred eleven thousand, one".

Divisors: 1 13 65293 263089 848809 3420157 17177870077 223312311001