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20301203100 = 22352283239119
BaseRepresentation
bin10010111010000010…
…111100011010011100
31221101211021222020010
4102322002330122130
5313034101444400
613154245123220
71316040244023
oct227202743234
957354258203
1020301203100
118678555402
123b269b9510
131bb6c07219
14da82cd8ba
157dc416450
hex4ba0bc69c

20301203100 has 72 divisors (see below), whose sum is σ = 58945949440. Its totient is φ = 5394502080.

The previous prime is 20301203099. The next prime is 20301203107. The reversal of 20301203100 is 130210302.

It is a happy number.

It is a super-3 number, since 3×203012031003 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20301203107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34660 + ... + 204459.

Almost surely, 220301203100 is an apocalyptic number.

20301203100 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 20301203100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29472974720).

20301203100 is an abundant number, since it is smaller than the sum of its proper divisors (38644746340).

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

20301203100 is a wasteful number, since it uses less digits than its factorization.

20301203100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239419 (or 239412 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 20301203100 its reverse (130210302), we get a palindrome (20431413402).

The spelling of 20301203100 in words is "twenty billion, three hundred one million, two hundred three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 283 300 566 849 1132 1415 1698 2830 3396 4245 5660 7075 8490 14150 16980 21225 28300 42450 84900 239119 478238 717357 956476 1195595 1434714 2391190 2869428 3586785 4782380 5977975 7173570 11955950 14347140 17933925 23911900 35867850 67670677 71735700 135341354 203012031 270682708 338353385 406024062 676706770 812048124 1015060155 1353413540 1691766925 2030120310 3383533850 4060240620 5075300775 6767067700 10150601550 20301203100