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200331221131121 is a prime number
BaseRepresentation
bin101101100011001100111111…
…010001011101111101110001
3222021022110220020121212200012
4231203030333101131331301
5202224211320102143441
61550022520435504305
760124311261424103
oct5543147721357561
9867273806555605
10200331221131121
1158916aa2782553
121a575648758095
1387a21cb465272
143768123441573
15182611c6889eb
hexb6333f45df71

200331221131121 has 2 divisors, whose sum is σ = 200331221131122. Its totient is φ = 200331221131120.

The previous prime is 200331221131087. The next prime is 200331221131127. The reversal of 200331221131121 is 121131122133002.

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., 124301628076096 + 76029593055025 = 11149064^2 + 8719495^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-200331221131121 is a prime.

It is a super-2 number, since 2×2003312211311212 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (200331221131127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100165610565560 + 100165610565561.

It is an arithmetic number, because the mean of its divisors is an integer number (100165610565561).

Almost surely, 2200331221131121 is an apocalyptic number.

It is an amenable number.

200331221131121 is a deficient number, since it is larger than the sum of its proper divisors (1).

200331221131121 is an equidigital number, since it uses as much as digits as its factorization.

200331221131121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 200331221131121 its reverse (121131122133002), we get a palindrome (321462343264123).

The spelling of 200331221131121 in words is "two hundred trillion, three hundred thirty-one billion, two hundred twenty-one million, one hundred thirty-one thousand, one hundred twenty-one".