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233135101 is a prime number
BaseRepresentation
bin11011110010101…
…01101111111101
3121020200111020101
431321111233331
5434140310401
635044521101
75530421113
oct1571255775
9536614211
10233135101
1110a664941
12660b0191
13393b9284
1422d69ab3
1515702101
hexde55bfd

233135101 has 2 divisors, whose sum is σ = 233135102. Its totient is φ = 233135100.

The previous prime is 233135099. The next prime is 233135167. The reversal of 233135101 is 101531332.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 218892025 + 14243076 = 14795^2 + 3774^2 .

It is a cyclic number.

It is not a de Polignac number, because 233135101 - 21 = 233135099 is a prime.

Together with 233135099, 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 (233135171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 116567550 + 116567551.

It is an arithmetic number, because the mean of its divisors is an integer number (116567551).

Almost surely, 2233135101 is an apocalyptic number.

It is an amenable number.

233135101 is a deficient number, since it is larger than the sum of its proper divisors (1).

233135101 is an equidigital number, since it uses as much as digits as its factorization.

233135101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 270, while the sum is 19.

The square root of 233135101 is about 15268.7622615587. The cubic root of 233135101 is about 615.4638587445.

Adding to 233135101 its reverse (101531332), we get a palindrome (334666433).

The spelling of 233135101 in words is "two hundred thirty-three million, one hundred thirty-five thousand, one hundred one".