Search a number
-
+
202223201322101 = 5327697137759761
BaseRepresentation
bin101101111110101111000010…
…000101001000010001110101
3222112000100102121010212121212
4231332233002011020101311
5203001211104014301401
61554032020045251205
760411100305621221
oct5576570205102165
9875010377125555
10202223201322101
115948641821aaa3
121a820264b63b05
1388ab74882c57b
1437d1925acb781
15185a45231bdbb
hexb7ebc2148475

202223201322101 has 8 divisors (see below), whose sum is σ = 206046173945304. Its totient is φ = 198400504273920.

The previous prime is 202223201322091. The next prime is 202223201322119. The reversal of 202223201322101 is 101223102322202.

It is a happy number.

202223201322101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 30083579522500 + 172139621799601 = 5484850^2 + 13120199^2 .

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 202223201322101 - 214 = 202223201305717 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202223201328101) 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, 67411940 + ... + 70347821.

It is an arithmetic number, because the mean of its divisors is an integer number (25755771743163).

Almost surely, 2202223201322101 is an apocalyptic number.

It is an amenable number.

202223201322101 is a deficient number, since it is larger than the sum of its proper divisors (3822972623203).

202223201322101 is a wasteful number, since it uses less digits than its factorization.

202223201322101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137787511.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 202223201322101 its reverse (101223102322202), we get a palindrome (303446303644303).

The spelling of 202223201322101 in words is "two hundred two trillion, two hundred twenty-three billion, two hundred one million, three hundred twenty-two thousand, one hundred one".

Divisors: 1 53 27697 1467941 137759761 7301267333 3815532100417 202223201322101