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253313101133 is a prime number
BaseRepresentation
bin1110101111101010100…
…0110010110101001101
3220012211211021211110122
43223322220302311031
513122241123214013
6312212002514325
724205222555511
oct3537250626515
9805754254418
10253313101133
119847a707164
12411160659a5
131ab6c5aa471
14c39083c141
1568c8b08a08
hex3afaa32d4d

253313101133 has 2 divisors, whose sum is σ = 253313101134. Its totient is φ = 253313101132.

The previous prime is 253313101121. The next prime is 253313101157. The reversal of 253313101133 is 331101313352.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 252226937284 + 1086163849 = 502222^2 + 32957^2 .

It is a cyclic number.

It is not a de Polignac number, because 253313101133 - 216 = 253313035597 is a prime.

It is a super-3 number, since 3×2533131011333 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (253313101333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126656550566 + 126656550567.

It is an arithmetic number, because the mean of its divisors is an integer number (126656550567).

Almost surely, 2253313101133 is an apocalyptic number.

It is an amenable number.

253313101133 is a deficient number, since it is larger than the sum of its proper divisors (1).

253313101133 is an equidigital number, since it uses as much as digits as its factorization.

253313101133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2430, while the sum is 26.

Adding to 253313101133 its reverse (331101313352), we get a palindrome (584414414485).

The spelling of 253313101133 in words is "two hundred fifty-three billion, three hundred thirteen million, one hundred one thousand, one hundred thirty-three".