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20030012000 = 255317217327
BaseRepresentation
bin10010101001111000…
…011011101001100000
31220200221000000222022
4102221320123221200
5312010140341000
613111320401012
71306235202305
oct225170335140
956627000868
1020030012000
118549468529
123a70016168
131b7298520b
14d802990ac
157c36e8585
hex4a9e1ba60

20030012000 has 144 divisors (see below), whose sum is σ = 52281972288. Its totient is φ = 7540275200.

The previous prime is 20030011997. The next prime is 20030012053. The reversal of 20030012000 is 21003002.

It is a Harshad number since it is a multiple of its sum of digits (8).

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, 1147337 + ... + 1164663.

It is an arithmetic number, because the mean of its divisors is an integer number (363069252).

Almost surely, 220030012000 is an apocalyptic number.

20030012000 is a gapful number since it is divisible by the number (20) 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 20030012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26140986144).

20030012000 is an abundant number, since it is smaller than the sum of its proper divisors (32251960288).

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

20030012000 is a wasteful number, since it uses less digits than its factorization.

20030012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17386 (or 17351 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

Adding to 20030012000 its reverse (21003002), we get a palindrome (20051015002).

The spelling of 20030012000 in words is "twenty billion, thirty million, twelve thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 125 136 160 170 200 250 272 289 340 400 425 500 544 578 680 800 850 1000 1156 1360 1445 1700 2000 2125 2312 2720 2890 3400 4000 4250 4624 5780 6800 7225 8500 9248 11560 13600 14450 17000 17327 23120 28900 34000 34654 36125 46240 57800 68000 69308 72250 86635 115600 138616 144500 173270 231200 277232 289000 294559 346540 433175 554464 578000 589118 693080 866350 1156000 1178236 1386160 1472795 1732700 2165875 2356472 2772320 2945590 3465400 4331750 4712944 5007503 5891180 6930800 7363975 8663500 9425888 10015006 11782360 13861600 14727950 17327000 20030012 23564720 25037515 29455900 34654000 36819875 40060024 47129440 50075030 58911800 69308000 73639750 80120048 100150060 117823600 125187575 147279500 160240096 200300120 235647200 250375150 294559000 400600240 500750300 589118000 625937875 801200480 1001500600 1178236000 1251875750 2003001200 2503751500 4006002400 5007503000 10015006000 20030012000