Search a number
-
+
223102101031 is a prime number
BaseRepresentation
bin1100111111000111101…
…0111110011000100111
3210022212100222000100221
43033301322332120213
512123403114213111
6250254112145211
722055451366145
oct3176172763047
9708770860327
10223102101031
1186687357687
12372a4538207
13180665a9244
14ab2638a595
155c0b701371
hex33f1ebe627

223102101031 has 2 divisors, whose sum is σ = 223102101032. Its totient is φ = 223102101030.

The previous prime is 223102100989. The next prime is 223102101113. The reversal of 223102101031 is 130101201322.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 223102101031 - 221 = 223100003879 is a prime.

It is a super-3 number, since 3×2231021010313 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 223102100996 and 223102101014.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (223102101931) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111551050515 + 111551050516.

It is an arithmetic number, because the mean of its divisors is an integer number (111551050516).

Almost surely, 2223102101031 is an apocalyptic number.

223102101031 is a deficient number, since it is larger than the sum of its proper divisors (1).

223102101031 is an equidigital number, since it uses as much as digits as its factorization.

223102101031 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 223102101031 its reverse (130101201322), we get a palindrome (353203302353).

The spelling of 223102101031 in words is "two hundred twenty-three billion, one hundred two million, one hundred one thousand, thirty-one".