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30130312000 = 26537351593
BaseRepresentation
bin11100000011111010…
…000001001101000000
32212202211111102211111
4130003322001031000
5443201324441000
621501445053104
72114441266135
oct340372011500
985684442744
1030130312000
11118618593a8
125a0a6b7194
132ac238c8a9
14165b88a58c
15bb52b9cba
hex703e81340

30130312000 has 112 divisors (see below), whose sum is σ = 75641344272. Its totient is φ = 11886796800.

The previous prime is 30130311979. The next prime is 30130312013. The reversal of 30130312000 is 21303103.

It can be written as a sum of positive squares in 8 ways, for example, as 1360724544 + 28769587456 = 36888^2 + 169616^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 558204 + ... + 609796.

Almost surely, 230130312000 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 30130312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37820672136).

30130312000 is an abundant number, since it is smaller than the sum of its proper divisors (45511032272).

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

30130312000 is an equidigital number, since it uses as much as digits as its factorization.

30130312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51693 (or 51673 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 30130312000 its reverse (21303103), we get a palindrome (30151615103).

The spelling of 30130312000 in words is "thirty billion, one hundred thirty million, three hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 73 80 100 125 146 160 200 250 292 320 365 400 500 584 730 800 1000 1168 1460 1600 1825 2000 2336 2920 3650 4000 4672 5840 7300 8000 9125 11680 14600 18250 23360 29200 36500 51593 58400 73000 103186 116800 146000 206372 257965 292000 412744 515930 584000 825488 1031860 1289825 1650976 2063720 2579650 3301952 3766289 4127440 5159300 6449125 7532578 8254880 10318600 12898250 15065156 16509760 18831445 20637200 25796500 30130312 37662890 41274400 51593000 60260624 75325780 82548800 94157225 103186000 120521248 150651560 188314450 206372000 241042496 301303120 376628900 412744000 470786125 602606240 753257800 941572250 1205212480 1506515600 1883144500 3013031200 3766289000 6026062400 7532578000 15065156000 30130312000