Search a number
-
+
203133112331 is a prime number
BaseRepresentation
bin1011110100101110101…
…1010101000000001011
3201102022200210021121212
42331023223111000023
511312004034043311
6233152411323335
720450553652202
oct2751353250013
9642280707555
10203133112331
117916a389936
1233450a5054b
131620346b9b6
149b90258239
15543d55dc8b
hex2f4bad500b

203133112331 has 2 divisors, whose sum is σ = 203133112332. Its totient is φ = 203133112330.

The previous prime is 203133112213. The next prime is 203133112337. The reversal of 203133112331 is 133211331302.

203133112331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 203133112331 - 214 = 203133095947 is a prime.

It is a super-2 number, since 2×2031331123312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 203133112297 and 203133112306.

It is not a weakly prime, because it can be changed into another prime (203133112337) 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, 101566556165 + 101566556166.

It is an arithmetic number, because the mean of its divisors is an integer number (101566556166).

Almost surely, 2203133112331 is an apocalyptic number.

203133112331 is a deficient number, since it is larger than the sum of its proper divisors (1).

203133112331 is an equidigital number, since it uses as much as digits as its factorization.

203133112331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 203133112331 its reverse (133211331302), we get a palindrome (336344443633).

The spelling of 203133112331 in words is "two hundred three billion, one hundred thirty-three million, one hundred twelve thousand, three hundred thirty-one".