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153313117 is a prime number
BaseRepresentation
bin10010010001101…
…01111101011101
3101200111010001121
421020311331131
5303222004432
623114010541
73541066006
oct1110657535
9350433047
10153313117
11795a5461
1243416a51
13259bbc29
141650c1ad
15d6d6197
hex9235f5d

153313117 has 2 divisors, whose sum is σ = 153313118. Its totient is φ = 153313116.

The previous prime is 153313087. The next prime is 153313141. The reversal of 153313117 is 711313351.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 131354521 + 21958596 = 11461^2 + 4686^2 .

It is a cyclic number.

It is not a de Polignac number, because 153313117 - 211 = 153311069 is a prime.

It is equal to p8620090 and since 153313117 and 8620090 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 153313091 and 153313100.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (153313177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 76656558 + 76656559.

It is an arithmetic number, because the mean of its divisors is an integer number (76656559).

Almost surely, 2153313117 is an apocalyptic number.

It is an amenable number.

153313117 is a deficient number, since it is larger than the sum of its proper divisors (1).

153313117 is an equidigital number, since it uses as much as digits as its factorization.

153313117 is an evil number, because the sum of its binary digits is even.

The product of its digits is 945, while the sum is 25.

The square root of 153313117 is about 12381.9674123299. The cubic root of 153313117 is about 535.2127339854.

Adding to 153313117 its reverse (711313351), we get a palindrome (864626468).

The spelling of 153313117 in words is "one hundred fifty-three million, three hundred thirteen thousand, one hundred seventeen".