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253243133 = 111323372081
BaseRepresentation
bin11110001100000…
…10111011111101
3122122112002021022
433012002323331
51004312240013
641043513525
76163350113
oct1706027375
9578462238
10253243133
1111aa49350
12709888a5
1340609910
14258c1ab3
1517375008
hexf182efd

253243133 has 32 divisors (see below), whose sum is σ = 318995712. Its totient is φ = 197683200.

The previous prime is 253243121. The next prime is 253243139. The reversal of 253243133 is 331342352.

It is a happy number.

It is not a de Polignac number, because 253243133 - 24 = 253243117 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 (253243139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120653 + ... + 122733.

It is an arithmetic number, because the mean of its divisors is an integer number (9968616).

Almost surely, 2253243133 is an apocalyptic number.

253243133 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

253243133 is a deficient number, since it is larger than the sum of its proper divisors (65752579).

253243133 is a wasteful number, since it uses less digits than its factorization.

253243133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2165.

The product of its digits is 6480, while the sum is 26.

The square root of 253243133 is about 15913.6147056538. The cubic root of 253243133 is about 632.6728908132.

Adding to 253243133 its reverse (331342352), we get a palindrome (584585485).

It can be divided in two parts, 253 and 243133, that multiplied together give a square (61512649 = 78432).

The spelling of 253243133 in words is "two hundred fifty-three million, two hundred forty-three thousand, one hundred thirty-three".

Divisors: 1 11 13 23 37 143 253 299 407 481 851 2081 3289 5291 9361 11063 22891 27053 47863 76997 121693 297583 526493 622219 846967 1000961 1770931 6844409 11010571 19480241 23022103 253243133