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34124303221100 = 2252709820958631
BaseRepresentation
bin1111100001001001011101…
…11110001100000101101100
311110211020210100211100111222
413300210232332030011230
513433043033111033400
6200324253302402512
710121254021345001
oct760445676140554
9143736710740458
1034124303221100
11a967043605514
1239b1628130438
131606ba5acb701
1485d8a73578a8
153e29b8908185
hex1f092ef8c16c

34124303221100 has 72 divisors (see below), whose sum is σ = 74164478690400. Its totient is φ = 13628576332800.

The previous prime is 34124303221079. The next prime is 34124303221103. The reversal of 34124303221100 is 112230342143.

It is a self number, because there is not a number n which added to its sum of digits gives 34124303221100.

It is not an unprimeable number, because it can be changed into a prime (34124303221103) 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, 581988785 + ... + 582047415.

Almost surely, 234124303221100 is an apocalyptic number.

It is an amenable number.

34124303221100 is an abundant number, since it is smaller than the sum of its proper divisors (40040175469300).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34124303221100 is a wasteful number, since it uses less digits than its factorization.

34124303221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67563 (or 67556 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 34124303221100 its reverse (112230342143), we get a palindrome (34236533563243).

The spelling of 34124303221100 in words is "thirty-four trillion, one hundred twenty-four billion, three hundred three million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 709 1418 2836 3545 7090 8209 14180 16418 17725 32836 35450 41045 58631 70900 82090 117262 164180 205225 234524 293155 410450 586310 820900 1172620 1465775 2931550 5820181 5863100 11640362 23280724 29100905 41569379 58201810 83138758 116403620 145504525 166277516 207846895 291009050 415693790 481301879 582018100 831387580 962603758 1039234475 1925207516 2078468950 2406509395 4156937900 4813018790 9626037580 12032546975 24065093950 48130187900 341243032211 682486064422 1364972128844 1706215161055 3412430322110 6824860644220 8531075805275 17062151610550 34124303221100