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42200332431041 is a prime number
BaseRepresentation
bin10011001100001100001111…
…10100101110111011000001
312112102022102201120210102202
421212012013310232323001
521012402240100243131
6225430322020322545
711613605402110361
oct1146060764567301
9175368381523382
1042200332431041
11124a0073551454
124896859b43455
131a71621c92455
14a5c7152629a1
154d2ada436bcb
hex266187d2eec1

42200332431041 has 2 divisors, whose sum is σ = 42200332431042. Its totient is φ = 42200332431040.

The previous prime is 42200332430959. The next prime is 42200332431091. The reversal of 42200332431041 is 14013423300224.

42200332431041 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 can be written as a sum of positive squares in only one way, i.e., 42183453224641 + 16879206400 = 6494879^2 + 129920^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-42200332431041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42200332430995 and 42200332431013.

It is not a weakly prime, because it can be changed into another prime (42200332431091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21100166215520 + 21100166215521.

It is an arithmetic number, because the mean of its divisors is an integer number (21100166215521).

Almost surely, 242200332431041 is an apocalyptic number.

It is an amenable number.

42200332431041 is a deficient number, since it is larger than the sum of its proper divisors (1).

42200332431041 is an equidigital number, since it uses as much as digits as its factorization.

42200332431041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 42200332431041 its reverse (14013423300224), we get a palindrome (56213755731265).

The spelling of 42200332431041 in words is "forty-two trillion, two hundred billion, three hundred thirty-two million, four hundred thirty-one thousand, forty-one".