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30071312000 = 275313114347
BaseRepresentation
bin11100000000011000…
…111100111010000000
32212121201110221001022
4130000120330322000
5443041223441000
621451540325012
72113123635362
oct340030747200
985551427038
1030071312000
1111831520874
1259b29a3768
132ab30a2b52
141653accd32
15bb0013585
hex70063ce80

30071312000 has 128 divisors (see below), whose sum is σ = 75340774080. Its totient is φ = 11935872000.

The previous prime is 30071311973. The next prime is 30071312023. The reversal of 30071312000 is 21317003.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 30071312000.

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, 2088827 + ... + 2103173.

Almost surely, 230071312000 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 30071312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37670387040).

30071312000 is an abundant number, since it is smaller than the sum of its proper divisors (45269462080).

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

30071312000 is a wasteful number, since it uses less digits than its factorization.

30071312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14507 (or 14485 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 17.

Adding to 30071312000 its reverse (21317003), we get a palindrome (30092629003).

The spelling of 30071312000 in words is "thirty billion, seventy-one million, three hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 131 160 200 250 262 320 400 500 524 640 655 800 1000 1048 1310 1600 2000 2096 2620 3200 3275 4000 4192 5240 6550 8000 8384 10480 13100 14347 16000 16375 16768 20960 26200 28694 32750 41920 52400 57388 65500 71735 83840 104800 114776 131000 143470 209600 229552 262000 286940 358675 419200 459104 524000 573880 717350 918208 1048000 1147760 1434700 1793375 1836416 1879457 2096000 2295520 2869400 3586750 3758914 4591040 5738800 7173500 7517828 9182080 9397285 11477600 14347000 15035656 18794570 22955200 28694000 30071312 37589140 45910400 46986425 57388000 60142624 75178280 93972850 114776000 120285248 150356560 187945700 229552000 234932125 240570496 300713120 375891400 469864250 601426240 751782800 939728500 1202852480 1503565600 1879457000 3007131200 3758914000 6014262400 7517828000 15035656000 30071312000