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40133117 is a prime number
BaseRepresentation
bin1001100100011…
…0000111111101
32210111222021202
42121012013331
540233224432
63552105245
7665061113
oct231060775
983458252
1040133117
1120721672
1211535225
13841230b
145489ab3
1537cb462
hex26461fd

40133117 has 2 divisors, whose sum is σ = 40133118. Its totient is φ = 40133116.

The previous prime is 40133101. The next prime is 40133131. The reversal of 40133117 is 71133104.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26152996 + 13980121 = 5114^2 + 3739^2 .

It is a cyclic number.

It is not a de Polignac number, because 40133117 - 24 = 40133101 is a prime.

It is a super-2 number, since 2×401331172 = 3221334160271378, which contains 22 as substring.

It is equal to p2441270 and since 40133117 and 2441270 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (40133167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20066558 + 20066559.

It is an arithmetic number, because the mean of its divisors is an integer number (20066559).

Almost surely, 240133117 is an apocalyptic number.

It is an amenable number.

40133117 is a deficient number, since it is larger than the sum of its proper divisors (1).

40133117 is an equidigital number, since it uses as much as digits as its factorization.

40133117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 40133117 is about 6335.0704021345. The cubic root of 40133117 is about 342.3741473779.

The spelling of 40133117 in words is "forty million, one hundred thirty-three thousand, one hundred seventeen".