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20330411430 = 23572931710531
BaseRepresentation
bin10010111011110010…
…010111010110100110
31221110212020220112010
4102323302113112212
5313114041131210
613201211135050
71316543434350
oct227362272646
957425226463
1020330411430
118692a9501a
123b34744486
131bbcc92a64
14dac1340d0
157dec85920
hex4bbc975a6

20330411430 has 128 divisors (see below), whose sum is σ = 57873761280. Its totient is φ = 4472133120.

The previous prime is 20330411419. The next prime is 20330411443. The reversal of 20330411430 is 3411403302.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 20330411397 and 20330411406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1925265 + ... + 1935795.

It is an arithmetic number, because the mean of its divisors is an integer number (452138760).

Almost surely, 220330411430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20330411430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28936880640).

20330411430 is an abundant number, since it is smaller than the sum of its proper divisors (37543349850).

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

20330411430 is a wasteful number, since it uses less digits than its factorization.

20330411430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10894.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 20330411430 its reverse (3411403302), we get a palindrome (23741814732).

The spelling of 20330411430 in words is "twenty billion, three hundred thirty million, four hundred eleven thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 42 58 70 87 105 145 174 203 210 290 317 406 435 609 634 870 951 1015 1218 1585 1902 2030 2219 3045 3170 4438 4755 6090 6657 9193 9510 10531 11095 13314 18386 21062 22190 27579 31593 33285 45965 52655 55158 63186 64351 66570 73717 91930 105310 128702 137895 147434 157965 193053 221151 275790 305399 315930 321755 368585 386106 442302 610798 643510 737170 916197 965265 1105755 1526995 1832394 1930530 2137793 2211510 3053990 3338327 4275586 4580985 6413379 6676654 9161970 10014981 10688965 12826758 16691635 20029962 21377930 23368289 32066895 33383270 46736578 50074905 64133790 70104867 96811483 100149810 116841445 140209734 193622966 233682890 290434449 350524335 484057415 580868898 677680381 701048670 968114830 1355360762 1452172245 2033041143 2904344490 3388401905 4066082286 6776803810 10165205715 20330411430