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302012020000 = 255453284917
BaseRepresentation
bin1000110010100010101…
…00011011010100100000
31001212112201220020022101
410121101110123110200
514422010034120000
6350424205420144
730551065546015
oct4312124332440
91055481806271
10302012020000
1110709aa03749
124a64726a654
13226309240a2
141089044970c
157cc9147e6a
hex465151b520

302012020000 has 120 divisors (see below), whose sum is σ = 757016299116. Its totient is φ = 118525056000.

The previous prime is 302012019979. The next prime is 302012020043. The reversal of 302012020000 is 20210203.

It can be written as a sum of positive squares in 10 ways, for example, as 10684116496 + 291327903504 = 103364^2 + 539748^2 .

It is a super-2 number, since 2×3020120200002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 917542 + ... + 1202458.

Almost surely, 2302012020000 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 302012020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378508149558).

302012020000 is an abundant number, since it is smaller than the sum of its proper divisors (455004279116).

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

302012020000 is an equidigital number, since it uses as much as digits as its factorization.

302012020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285000 (or 284977 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 302012020000 its reverse (20210203), we get a palindrome (302032230203).

The spelling of 302012020000 in words is "three hundred two billion, twelve million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 53 80 100 106 125 160 200 212 250 265 400 424 500 530 625 800 848 1000 1060 1250 1325 1696 2000 2120 2500 2650 4000 4240 5000 5300 6625 8480 10000 10600 13250 20000 21200 26500 33125 42400 53000 66250 106000 132500 212000 265000 284917 530000 569834 1060000 1139668 1424585 2279336 2849170 4558672 5698340 7122925 9117344 11396680 14245850 15100601 22793360 28491700 30201202 35614625 45586720 56983400 60402404 71229250 75503005 113966800 120804808 142458500 151006010 178073125 227933600 241609616 284917000 302012020 356146250 377515025 483219232 569834000 604024040 712292500 755030050 1139668000 1208048080 1424585000 1510060100 1887575125 2416096160 2849170000 3020120200 3775150250 5698340000 6040240400 7550300500 9437875625 12080480800 15100601000 18875751250 30201202000 37751502500 60402404000 75503005000 151006010000 302012020000