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133200414031 is a prime number
BaseRepresentation
bin111110000001101011…
…1010000010101001111
3110201210222002010022211
41330003113100111033
54140243301222111
6141105203051251
712423554560336
oct1740327202517
9421728063284
10133200414031
1151543185603
1221994670b27
13c739c59949
146638560d1d
1536e8ce4521
hex1f035d054f

133200414031 has 2 divisors, whose sum is σ = 133200414032. Its totient is φ = 133200414030.

The previous prime is 133200414029. The next prime is 133200414047. The reversal of 133200414031 is 130414002331.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 133200414031 - 21 = 133200414029 is a prime.

It is a super-2 number, since 2×1332004140312 (a number of 23 digits) contains 22 as substring.

Together with 133200414029, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 133200413993 and 133200414011.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133200414131) 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, 66600207015 + 66600207016.

It is an arithmetic number, because the mean of its divisors is an integer number (66600207016).

Almost surely, 2133200414031 is an apocalyptic number.

133200414031 is a deficient number, since it is larger than the sum of its proper divisors (1).

133200414031 is an equidigital number, since it uses as much as digits as its factorization.

133200414031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 133200414031 its reverse (130414002331), we get a palindrome (263614416362).

The spelling of 133200414031 in words is "one hundred thirty-three billion, two hundred million, four hundred fourteen thousand, thirty-one".