Search a number
-
+
403123020253 is a prime number
BaseRepresentation
bin1011101110111000000…
…00010010000111011101
31102112112100002020101121
411313130000102013131
523101043443122003
6505105301210541
741060523064222
oct5673400220735
91375470066347
10403123020253
11145a66487778
1266165100a51
132c025666415
1415722c6d949
15a745b8ccbd
hex5ddc0121dd

403123020253 has 2 divisors, whose sum is σ = 403123020254. Its totient is φ = 403123020252.

The previous prime is 403123020241. The next prime is 403123020259. The reversal of 403123020253 is 352020321304.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 392775451524 + 10347568729 = 626718^2 + 101723^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-403123020253 is a prime.

It is a super-3 number, since 3×4031230202533 (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (403123020259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 201561510126 + 201561510127.

It is an arithmetic number, because the mean of its divisors is an integer number (201561510127).

Almost surely, 2403123020253 is an apocalyptic number.

It is an amenable number.

403123020253 is a deficient number, since it is larger than the sum of its proper divisors (1).

403123020253 is an equidigital number, since it uses as much as digits as its factorization.

403123020253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 403123020253 its reverse (352020321304), we get a palindrome (755143341557).

The spelling of 403123020253 in words is "four hundred three billion, one hundred twenty-three million, twenty thousand, two hundred fifty-three".