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20223431300020 = 225132311532933083
BaseRepresentation
bin1001001100100101000100…
…11100000101001110110100
32122121100012200212120010211
410212102202130011032310
510122320041403100040
6111002303250155204
74155044323521634
oct446224234051664
978540180776124
1020223431300020
1164977888217a3
12232752a282b04
13b390a4b42280
144dcb6821c6c4
152510d04128ea
hex1264a27053b4

20223431300020 has 96 divisors (see below), whose sum is σ = 47766000344832. Its totient is φ = 7136258899968.

The previous prime is 20223431299999. The next prime is 20223431300047. The reversal of 20223431300020 is 2000313432202.

It is a junction number, because it is equal to n+sod(n) for n = 20223431299964 and 20223431300000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5428399 + ... + 8361481.

It is an arithmetic number, because the mean of its divisors is an integer number (497562503592).

Almost surely, 220223431300020 is an apocalyptic number.

20223431300020 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 20223431300020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23883000172416).

20223431300020 is an abundant number, since it is smaller than the sum of its proper divisors (27542569044812).

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

20223431300020 is a wasteful number, since it uses less digits than its factorization.

20223431300020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2934281 (or 2934279 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 20223431300020 its reverse (2000313432202), we get a palindrome (22223744732222).

The spelling of 20223431300020 in words is "twenty trillion, two hundred twenty-three billion, four hundred thirty-one million, three hundred thousand, twenty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 92 115 130 230 260 299 460 598 1153 1196 1495 2306 2990 4612 5765 5980 11530 14989 23060 26519 29978 53038 59956 74945 106076 132595 149890 265190 299780 344747 530380 689494 1378988 1723735 2933083 3447470 5866166 6894940 11732332 14665415 29330830 38130079 58661660 67460909 76260158 134921818 152520316 190650395 269843636 337304545 381300790 674609090 762601580 876991817 1349218180 1753983634 3381844699 3507967268 4384959085 6763689398 8769918170 13527378796 16909223495 17539836340 33818446990 43963981087 67636893980 77782428077 87927962174 155564856154 175855924348 219819905435 311129712308 388912140385 439639810870 777824280770 879279621740 1011171565001 1555648561540 2022343130002 4044686260004 5055857825005 10111715650010 20223431300020