Search a number
-
+
223870232101 is a prime number
BaseRepresentation
bin1101000001111110110…
…1001010011000100101
3210101211220100010002211
43100133231022120211
512131441234411401
6250502232003421
722113466401265
oct3203755123045
9711756303084
10223870232101
1186a40a0094a
1237479830571
1318159781579
14ab9a3bb7a5
155c53d80951
hex341fb4a625

223870232101 has 2 divisors, whose sum is σ = 223870232102. Its totient is φ = 223870232100.

The previous prime is 223870232099. The next prime is 223870232107. The reversal of 223870232101 is 101232078322.

223870232101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 143812359076 + 80057873025 = 379226^2 + 282945^2 .

It is a cyclic number.

It is not a de Polignac number, because 223870232101 - 21 = 223870232099 is a prime.

It is a super-2 number, since 2×2238702321012 (a number of 24 digits) contains 22 as substring.

Together with 223870232099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (223870232107) 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 as a sum of consecutive naturals, namely, 111935116050 + 111935116051.

It is an arithmetic number, because the mean of its divisors is an integer number (111935116051).

Almost surely, 2223870232101 is an apocalyptic number.

It is an amenable number.

223870232101 is a deficient number, since it is larger than the sum of its proper divisors (1).

223870232101 is an equidigital number, since it uses as much as digits as its factorization.

223870232101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8064, while the sum is 31.

The spelling of 223870232101 in words is "two hundred twenty-three billion, eight hundred seventy million, two hundred thirty-two thousand, one hundred one".