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33130313430 = 2352367739817
BaseRepresentation
bin11110110110101110…
…000111011011010110
310011111220112022010120
4132312232013123112
51020322330012210
623115253332410
72252000006034
oct366656073326
9104456468116
1033130313430
111306121a925
126507337106
13317ca74976
141864093554
15cdd85e270
hex7b6b876d6

33130313430 has 128 divisors (see below), whose sum is σ = 85370416128. Its totient is φ = 8209631232.

The previous prime is 33130313369. The next prime is 33130313479. The reversal of 33130313430 is 3431303133.

It is a self number, because there is not a number n which added to its sum of digits gives 33130313430.

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, 3369882 + ... + 3379698.

It is an arithmetic number, because the mean of its divisors is an integer number (666956376).

Almost surely, 233130313430 is an apocalyptic number.

33130313430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 33130313430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42685208064).

33130313430 is an abundant number, since it is smaller than the sum of its proper divisors (52240102698).

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

33130313430 is a wasteful number, since it uses less digits than its factorization.

33130313430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9990.

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 33130313430 its reverse (3431303133), we get a palindrome (36561616563).

The spelling of 33130313430 in words is "thirty-three billion, one hundred thirty million, three hundred thirteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 67 69 73 115 134 138 146 201 219 230 335 345 365 402 438 670 690 730 1005 1095 1541 1679 2010 2190 3082 3358 4623 4891 5037 7705 8395 9246 9782 9817 10074 14673 15410 16790 19634 23115 24455 25185 29346 29451 46230 48910 49085 50370 58902 73365 98170 112493 146730 147255 224986 225791 294510 337479 451582 562465 657739 674958 677373 716641 1124930 1128955 1315478 1354746 1433282 1687395 1973217 2149923 2257910 3288695 3374790 3386865 3583205 3946434 4299846 6577390 6773730 7166410 9866085 10749615 15127997 16482743 19732170 21499230 30255994 32965486 45383991 48014947 49448229 75639985 82413715 90767982 96029894 98896458 144044841 151279970 164827430 226919955 240074735 247241145 288089682 453839910 480149470 494482290 720224205 1104343781 1440448410 2208687562 3313031343 5521718905 6626062686 11043437810 16565156715 33130313430