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34003132141131 = 328387751903749
BaseRepresentation
bin1111011101100111110001…
…00111001100111001001011
311110101200000202001201022100
413232303320213030321023
513424101403312004011
6200152453453524443
710106434212224166
oct756637047147113
9143350022051270
1034003132141131
11a91a7136a770a
1239920501a3723
1315c863510741a
14857a9068cadd
153de775c2ad56
hex1eecf89cce4b

34003132141131 has 24 divisors (see below), whose sum is σ = 49764069810000. Its totient is φ = 22370100158016.

The previous prime is 34003132141127. The next prime is 34003132141229. The reversal of 34003132141131 is 13114123130043.

34003132141131 is a `hidden beast` number, since 3 + 4 + 0 + 0 + 313 + 214 + 1 + 131 = 666.

It is not a de Polignac number, because 34003132141131 - 22 = 34003132141127 is a prime.

It is a super-2 number, since 2×340031321411312 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34003132141095 and 34003132141104.

It is not an unprimeable number, because it can be changed into a prime (34003132141631) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25296756 + ... + 26606993.

It is an arithmetic number, because the mean of its divisors is an integer number (2073502908750).

Almost surely, 234003132141131 is an apocalyptic number.

34003132141131 is a deficient number, since it is larger than the sum of its proper divisors (15760937668869).

34003132141131 is a wasteful number, since it uses less digits than its factorization.

34003132141131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51904715 (or 51904712 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 34003132141131 its reverse (13114123130043), we get a palindrome (47117255271174).

The spelling of 34003132141131 in words is "thirty-four trillion, three billion, one hundred thirty-two million, one hundred forty-one thousand, one hundred thirty-one".

Divisors: 1 3 9 83 249 747 877 2631 7893 72791 218373 655119 51903749 155711247 467133741 4308011167 12924033501 38772100503 45519587873 136558763619 409676290857 3778125793459 11334377380377 34003132141131