Search a number
-
+
30033110525200 = 2452474759335681
BaseRepresentation
bin1101101010000101000001…
…11000100110010100010000
310221100010201002222201021021
412311002200320212110100
512414030302243301300
6143513004232405224
76216551322250516
oct665024070462420
9127303632881237
1030033110525200
119629a74a25772
12345074bb46814
13139b158075cb3
1475b87896c4b6
1537136ba29d1a
hex1b50a0e26510

30033110525200 has 120 divisors (see below), whose sum is σ = 73705455048960. Its totient is φ = 11755137638400.

The previous prime is 30033110525189. The next prime is 30033110525221. The reversal of 30033110525200 is 252501133003.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89301360 + ... + 89637040.

It is an arithmetic number, because the mean of its divisors is an integer number (614212125408).

Almost surely, 230033110525200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30033110525200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36852727524480).

30033110525200 is an abundant number, since it is smaller than the sum of its proper divisors (43672344523760).

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

30033110525200 is a wasteful number, since it uses less digits than its factorization.

30033110525200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340505 (or 340494 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

Adding to 30033110525200 its reverse (252501133003), we get a palindrome (30285611658203).

The spelling of 30033110525200 in words is "thirty trillion, thirty-three billion, one hundred ten million, five hundred twenty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 47 50 80 94 100 188 200 235 376 400 470 752 940 1175 1880 2350 3760 4700 4759 9400 9518 18800 19036 23795 38072 47590 76144 95180 118975 190360 223673 237950 335681 380720 447346 475900 671362 894692 951800 1118365 1342724 1678405 1789384 1903600 2236730 2685448 3356810 3578768 4473460 5370896 5591825 6713620 8392025 8946920 11183650 13427240 15777007 16784050 17893840 22367300 26854480 31554014 33568100 44734600 63108028 67136200 78885035 89469200 126216056 134272400 157770070 252432112 315540140 394425175 631080280 788850350 1262160560 1577700700 1597505879 3155401400 3195011758 6310802800 6390023516 7987529395 12780047032 15975058790 25560094064 31950117580 39937646975 63900235160 75082776313 79875293950 127800470320 150165552626 159750587900 300331105252 319501175800 375413881565 600662210504 639002351600 750827763130 1201324421008 1501655526260 1877069407825 3003311052520 3754138815650 6006622105040 7508277631300 15016555262600 30033110525200