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34053311230441 is a prime number
BaseRepresentation
bin1111011111000101001111…
…00001001111000111101001
311110120110112210212120021121
413233202213201033013221
513430412140133333231
6200231513013535241
710113161540363206
oct757424741170751
9143513483776247
1034053311230441
11a939a23470158
12399b915044521
1316002a0cbc649
1485a290abacad
153e0c11199311
hex1ef8a784f1e9

34053311230441 has 2 divisors, whose sum is σ = 34053311230442. Its totient is φ = 34053311230440.

The previous prime is 34053311230369. The next prime is 34053311230447. The reversal of 34053311230441 is 14403211335043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21800308046400 + 12253003184041 = 4669080^2 + 3500429^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34053311230441 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34053311230397 and 34053311230406.

It is not a weakly prime, because it can be changed into another prime (34053311230447) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17026655615220 + 17026655615221.

It is an arithmetic number, because the mean of its divisors is an integer number (17026655615221).

Almost surely, 234053311230441 is an apocalyptic number.

It is an amenable number.

34053311230441 is a deficient number, since it is larger than the sum of its proper divisors (1).

34053311230441 is an equidigital number, since it uses as much as digits as its factorization.

34053311230441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 51840, while the sum is 34.

Adding to 34053311230441 its reverse (14403211335043), we get a palindrome (48456522565484).

The spelling of 34053311230441 in words is "thirty-four trillion, fifty-three billion, three hundred eleven million, two hundred thirty thousand, four hundred forty-one".