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2023200310000 = 2454434705117
BaseRepresentation
bin11101011100010000001…
…000101100001011110000
321011102020022022201012211
4131130100020230023300
5231122003234410000
64145240112101504
7266112534612562
oct35342010541360
97142208281184
102023200310000
11710041915101
12288139834894
13118a2cc8895c
146dccdc01332
1537964ba87ba
hex1d71022c2f0

2023200310000 has 100 divisors (see below), whose sum is σ = 5012286923512. Its totient is φ = 790459488000.

The previous prime is 2023200309971. The next prime is 2023200310007. The reversal of 2023200310000 is 130023202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×20232003100002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2023200310007) 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 19 ways as a sum of consecutive naturals, for example, 1922559 + ... + 2782558.

Almost surely, 22023200310000 is an apocalyptic number.

2023200310000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2023200310000 is an abundant number, since it is smaller than the sum of its proper divisors (2989086613512).

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

2023200310000 is an equidigital number, since it uses as much as digits as its factorization.

2023200310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4705188 (or 4705167 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 2023200310000 its reverse (130023202), we get a palindrome (2023330333202).

The spelling of 2023200310000 in words is "two trillion, twenty-three billion, two hundred million, three hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 43 50 80 86 100 125 172 200 215 250 344 400 430 500 625 688 860 1000 1075 1250 1720 2000 2150 2500 3440 4300 5000 5375 8600 10000 10750 17200 21500 26875 43000 53750 86000 107500 215000 430000 4705117 9410234 18820468 23525585 37640936 47051170 75281872 94102340 117627925 188204680 202320031 235255850 376409360 404640062 470511700 588139625 809280124 941023400 1011600155 1176279250 1618560248 1882046800 2023200310 2352558500 2940698125 3237120496 4046400620 4705117000 5058000775 5881396250 8092801240 9410234000 10116001550 11762792500 16185602480 20232003100 23525585000 25290003875 40464006200 47051170000 50580007750 80928012400 101160015500 126450019375 202320031000 252900038750 404640062000 505800077500 1011600155000 2023200310000