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20430200100 = 22352503135389
BaseRepresentation
bin10011000001101111…
…000001110100100100
31221201211000200211210
4103001233001310210
5313320112400400
613215134031420
71322164556412
oct230157016444
957654020753
1020430200100
1187343517a2
123b62048570
131c078612cb
14dbb4ac2b2
157e88e7950
hex4c1bc1d24

20430200100 has 72 divisors (see below), whose sum is σ = 59229334080. Its totient is φ = 5437182080.

The previous prime is 20430200023. The next prime is 20430200107. The reversal of 20430200100 is 100203402.

It is a super-2 number, since 2×204302001002 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (20430200107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83206 + ... + 218594.

It is an arithmetic number, because the mean of its divisors is an integer number (822629640).

Almost surely, 220430200100 is an apocalyptic number.

20430200100 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 20430200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29614667040).

20430200100 is an abundant number, since it is smaller than the sum of its proper divisors (38799133980).

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

20430200100 is a wasteful number, since it uses less digits than its factorization.

20430200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135909 (or 135902 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 20430200100 its reverse (100203402), we get a palindrome (20530403502).

The spelling of 20430200100 in words is "twenty billion, four hundred thirty million, two hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 503 1006 1509 2012 2515 3018 5030 6036 7545 10060 12575 15090 25150 30180 37725 50300 75450 135389 150900 270778 406167 541556 676945 812334 1353890 1624668 2030835 2707780 3384725 4061670 6769450 8123340 10154175 13538900 20308350 40616700 68100667 136201334 204302001 272402668 340503335 408604002 681006670 817208004 1021510005 1362013340 1702516675 2043020010 3405033350 4086040020 5107550025 6810066700 10215100050 20430200100