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34101003430 = 251329163211263
BaseRepresentation
bin11111110000100101…
…000000010010100110
310021000120001110111001
4133300211000102212
51024314324102210
623355450503514
72315024514034
oct376045002246
9107016043431
1034101003430
111350a14466a
126738434b9a
1332a5bbbc50
141916d71554
15d48ba103a
hex7f09404a6

34101003430 has 128 divisors (see below), whose sum is σ = 69391365120. Its totient is φ = 11979394560.

The previous prime is 34101003367. The next prime is 34101003463. The reversal of 34101003430 is 3430010143.

It is a junction number, because it is equal to n+sod(n) for n = 34101003398 and 34101003407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 129661479 + ... + 129661741.

It is an arithmetic number, because the mean of its divisors is an integer number (542120040).

Almost surely, 234101003430 is an apocalyptic number.

34101003430 is an abundant number, since it is smaller than the sum of its proper divisors (35290361690).

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

34101003430 is a wasteful number, since it uses less digits than its factorization.

34101003430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686.

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 34101003430 its reverse (3430010143), we get a palindrome (37531013573).

The spelling of 34101003430 in words is "thirty-four billion, one hundred one million, three thousand, four hundred thirty".

Divisors: 1 2 5 10 13 26 29 58 65 130 145 163 211 263 290 326 377 422 526 754 815 1055 1315 1630 1885 2110 2119 2630 2743 3419 3770 4238 4727 5486 6119 6838 7627 9454 10595 12238 13715 15254 17095 21190 23635 27430 30595 34190 34393 38135 42869 47270 55493 61190 61451 68786 76270 79547 85738 99151 110986 122902 159094 171965 198302 214345 277465 307255 343930 397735 428690 447109 495755 554930 557297 614510 721409 795470 894218 991510 997397 1114594 1243201 1442818 1609297 1994794 2235545 2486402 2786485 3218594 3607045 4471090 4986985 5572970 6216005 7214090 8046485 9045359 9973970 12432010 12966161 16092970 16161613 18090718 20920861 25932322 32323226 41841722 45226795 64830805 80808065 90453590 104604305 117589667 129661610 161616130 209208610 235179334 262315411 524630822 587948335 1175896670 1311577055 2623154110 3410100343 6820200686 17050501715 34101003430