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34122511014303 = 3127353496951059
BaseRepresentation
bin1111100001000110001000…
…01001011101100110011111
311110211002011110110210222110
413300203010021131212133
513433030400304424203
6200323355401245103
710121161430006205
oct760430411354637
9143732143423873
1034122511014303
11a966303993a78
1239b1207a93793
13160697b70990a
1485d77730d075
153e29113ddd03
hex1f08c425d99f

34122511014303 has 32 divisors (see below), whose sum is σ = 45994978713600. Its totient is φ = 22500314597376.

The previous prime is 34122511014283. The next prime is 34122511014307. The reversal of 34122511014303 is 30341011522143.

It is not a de Polignac number, because 34122511014303 - 221 = 34122508917151 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34122511014307) 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 in 31 ways as a sum of consecutive naturals, for example, 668270188 + ... + 668321246.

It is an arithmetic number, because the mean of its divisors is an integer number (1437343084800).

Almost surely, 234122511014303 is an apocalyptic number.

34122511014303 is a deficient number, since it is larger than the sum of its proper divisors (11872467699297).

34122511014303 is a wasteful number, since it uses less digits than its factorization.

34122511014303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56511.

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 34122511014303 its reverse (30341011522143), we get a palindrome (64463522536446).

The spelling of 34122511014303 in words is "thirty-four trillion, one hundred twenty-two billion, five hundred eleven million, fourteen thousand, three hundred three".

Divisors: 1 3 127 353 381 1059 4969 14907 44831 51059 134493 153177 631063 1754057 1893189 5262171 6484493 18023827 19453479 54071481 222765239 253712171 668295717 761136513 2289026029 6867078087 32221445717 89560396363 96664337151 268681189089 11374170338101 34122511014303