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34120141004103 = 3721121100891159
BaseRepresentation
bin1111100001000001101101…
…11000100101110101000111
311110210212001021212211011220
413300200312320211311013
513433011022044112403
6200322324255531423
710121045621156400
oct760406670456507
9143725037784156
1034120141004103
11a9652a80a5260
1239b0866229b73
1316066916c140b
1485d5d06589a7
153e28232dd953
hex1f0836e25d47

34120141004103 has 24 divisors (see below), whose sum is σ = 57732038213760. Its totient is φ = 17724748572720.

The previous prime is 34120141004041. The next prime is 34120141004111. The reversal of 34120141004103 is 30140014102143.

It is not a de Polignac number, because 34120141004103 - 222 = 34120136809799 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34120141004143) 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 23 ways as a sum of consecutive naturals, for example, 10550443963 + ... + 10550447196.

It is an arithmetic number, because the mean of its divisors is an integer number (2405501592240).

Almost surely, 234120141004103 is an apocalyptic number.

34120141004103 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34120141004103 is a deficient number, since it is larger than the sum of its proper divisors (23611897209657).

34120141004103 is a wasteful number, since it uses less digits than its factorization.

34120141004103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21100891187 (or 21100891180 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 34120141004103 its reverse (30140014102143), we get a palindrome (64260155106246).

The spelling of 34120141004103 in words is "thirty-four trillion, one hundred twenty billion, one hundred forty-one million, four thousand, one hundred three".

Divisors: 1 3 7 11 21 33 49 77 147 231 539 1617 21100891159 63302673477 147706238113 232109802749 443118714339 696329408247 1033943666791 1624768619243 3101831000373 4874305857729 11373380334701 34120141004103