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20221330130100 = 223252112042558599
BaseRepresentation
bin1001001100100001001010…
…01100110000010010110100
32122121010210021011001212200
410212100211030300102310
510122301241003130400
6111001314550544500
74154641261053051
oct446204514602264
978533707131780
1020221330130100
1164968aa764730
122327042668130
13b38b2b734a68
144dca0914a028
1525100ac18b00
hex1264253304b4

20221330130100 has 108 divisors (see below), whose sum is σ = 69144693727200. Its totient is φ = 4902140635200.

The previous prime is 20221330130087. The next prime is 20221330130117. The reversal of 20221330130100 is 103103312202.

20221330130100 is a `hidden beast` number, since 2 + 0 + 221 + 330 + 13 + 0 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 1021269400 + ... + 1021289199.

Almost surely, 220221330130100 is an apocalyptic number.

20221330130100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20221330130100 is an abundant number, since it is smaller than the sum of its proper divisors (48923363597100).

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

20221330130100 is a wasteful number, since it uses less digits than its factorization.

20221330130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2042558630 (or 2042558620 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 20221330130100 its reverse (103103312202), we get a palindrome (20324433442302).

The spelling of 20221330130100 in words is "twenty trillion, two hundred twenty-one billion, three hundred thirty million, one hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 30 33 36 44 45 50 55 60 66 75 90 99 100 110 132 150 165 180 198 220 225 275 300 330 396 450 495 550 660 825 900 990 1100 1650 1980 2475 3300 4950 9900 2042558599 4085117198 6127675797 8170234396 10212792995 12255351594 18383027391 20425585990 22468144589 24510703188 30638378985 36766054782 40851171980 44936289178 51063964975 61276757970 67404433767 73532109564 89872578356 91915136955 102127929950 112340722945 122553515940 134808867534 153191894925 183830273910 202213301301 204255859900 224681445890 269617735068 306383789850 337022168835 367660547820 404426602602 449362891780 459575684775 561703614725 612767579700 674044337670 808853205204 919151369550 1011066506505 1123407229450 1348088675340 1685110844175 1838302739100 2022133013010 2246814458900 3370221688350 4044266026020 5055332532525 6740443376700 10110665065050 20221330130100