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34073058356103 = 31317313834328497
BaseRepresentation
bin1111011111101010000001…
…00010100010101110000111
311110122100112000120111011010
413233311000202202232013
513431223110414343403
6200244540311213303
710114461102234144
oct757650042425607
9143570460514133
1034073058356103
11a947337182a18
1239a3706377233
1316020ca1894a0
1485b2055793cb
153e14b9b14603
hex1efd408a2b87

34073058356103 has 64 divisors (see below), whose sum is σ = 53614092091392. Its totient is φ = 19048152637440.

The previous prime is 34073058356063. The next prime is 34073058356123. The reversal of 34073058356103 is 30165385037043.

It is not a de Polignac number, because 34073058356103 - 29 = 34073058355591 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34073058356123) 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 63 ways as a sum of consecutive naturals, for example, 5707551 + ... + 10036047.

It is an arithmetic number, because the mean of its divisors is an integer number (837720188928).

Almost surely, 234073058356103 is an apocalyptic number.

34073058356103 is a deficient number, since it is larger than the sum of its proper divisors (19541033735289).

34073058356103 is a wasteful number, since it uses less digits than its factorization.

34073058356103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4328944.

The product of its (nonzero) digits is 2721600, while the sum is 48.

The spelling of 34073058356103 in words is "thirty-four trillion, seventy-three billion, fifty-eight million, three hundred fifty-six thousand, one hundred three".

Divisors: 1 3 13 17 31 39 51 93 221 383 403 527 663 1149 1209 1581 4979 6511 6851 11873 14937 19533 20553 35619 84643 154349 201841 253929 463047 605523 2623933 4328497 7871799 12985491 56270461 73584449 134183407 168811383 220753347 402550221 956597837 1657814351 1744384291 2281117919 2869793511 4973443053 5233152873 6843353757 21551586563 28182843967 29654532947 51392244881 64654759689 84548531901 88963598841 154176734643 366376971571 668099183453 873668162977 1099130914713 2004297550359 2621004488931 11357686118701 34073058356103