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3030133200 = 2435219912689
BaseRepresentation
bin1011010010011100…
…0010100111010000
321211011201201022120
42310213002213100
522201203230300
61220402134240
7135042464403
oct26447024720
97734651276
103030133200
111315481a16
12706951380
13393a05033
1420a60bd3a
1512b0473a0
hexb49c29d0

3030133200 has 120 divisors (see below), whose sum is σ = 9756072000. Its totient is φ = 803911680.

The previous prime is 3030133199. The next prime is 3030133213. The reversal of 3030133200 is 23310303.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3030133200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 232456 + ... + 245144.

It is an arithmetic number, because the mean of its divisors is an integer number (81300600).

Almost surely, 23030133200 is an apocalyptic number.

3030133200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3030133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4878036000).

3030133200 is an abundant number, since it is smaller than the sum of its proper divisors (6725938800).

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

3030133200 is a wasteful number, since it uses less digits than its factorization.

3030133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12909 (or 12898 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 15.

The square root of 3030133200 is about 55046.6456743733. The cubic root of 3030133200 is about 1447.0623361748.

Adding to 3030133200 its reverse (23310303), we get a palindrome (3053443503).

The spelling of 3030133200 in words is "three billion, thirty million, one hundred thirty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 199 200 240 300 398 400 597 600 796 995 1194 1200 1592 1990 2388 2985 3184 3980 4776 4975 5970 7960 9552 9950 11940 12689 14925 15920 19900 23880 25378 29850 38067 39800 47760 50756 59700 63445 76134 79600 101512 119400 126890 152268 190335 203024 238800 253780 304536 317225 380670 507560 609072 634450 761340 951675 1015120 1268900 1522680 1903350 2525111 2537800 3045360 3806700 5050222 5075600 7575333 7613400 10100444 12625555 15150666 15226800 20200888 25251110 30301332 37876665 40401776 50502220 60602664 63127775 75753330 101004440 121205328 126255550 151506660 189383325 202008880 252511100 303013320 378766650 505022200 606026640 757533300 1010044400 1515066600 3030133200