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2030442430300 = 22526719310311523
BaseRepresentation
bin11101100010111111110…
…011001011111101011100
321012002221000122112121121
4131202333303023331130
5231231321230232200
64152434455540324
7266460153615124
oct35427763137534
97162830575547
102030442430300
11713118900299
1228961b08a6a4
131196154a583b
14703b9985c84
1537c3a89be1a
hex1d8bfccbf5c

2030442430300 has 144 divisors (see below), whose sum is σ = 4502306333952. Its totient is φ = 794615500800.

The previous prime is 2030442430193. The next prime is 2030442430301. The reversal of 2030442430300 is 30342440302.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2030442430301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1333185339 + ... + 1333186861.

It is an arithmetic number, because the mean of its divisors is an integer number (31266016208).

Almost surely, 22030442430300 is an apocalyptic number.

2030442430300 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 2030442430300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2251153166976).

2030442430300 is an abundant number, since it is smaller than the sum of its proper divisors (2471863903652).

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

2030442430300 is a wasteful number, since it uses less digits than its factorization.

2030442430300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2828 (or 2821 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

Adding to 2030442430300 its reverse (30342440302), we get a palindrome (2060784870602).

The spelling of 2030442430300 in words is "two trillion, thirty billion, four hundred forty-two million, four hundred thirty thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 67 100 134 193 268 335 386 670 772 965 1031 1340 1523 1675 1930 2062 3046 3350 3860 4124 4825 5155 6092 6700 7615 9650 10310 12931 15230 19300 20620 25775 25862 30460 38075 51550 51724 64655 69077 76150 102041 103100 129310 138154 152300 198983 204082 258620 276308 293939 323275 345385 397966 408164 510205 587878 646550 690770 795932 994915 1020410 1175756 1293100 1381540 1469695 1570213 1726925 1989830 2040820 2551025 2939390 3140426 3453850 3979660 4974575 5102050 5878780 6280852 6907700 7348475 7851065 9949150 10204100 13331861 14696950 15702130 19693913 19898300 26663722 29393900 31404260 39255325 39387826 53327444 66659305 78510650 78775652 98469565 105204271 133318610 157021300 196939130 210408542 266637220 303051109 333296525 393878260 420817084 492347825 526021355 606102218 666593050 984695650 1052042710 1212204436 1333186100 1515255545 1969391300 2104085420 2630106775 3030511090 5260213550 6061022180 7576277725 10520427100 15152555450 20304424303 30305110900 40608848606 81217697212 101522121515 203044243030 406088486060 507610607575 1015221215150 2030442430300