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20202101110100 = 22527133607615473
BaseRepresentation
bin1001001011111101010110…
…00011110111010101010100
32122112022011011100122100202
410211332223003313111110
510121442400341010400
6110544414522200032
74153360620065210
oct445765303672524
978468134318322
1020202101110100
116489732455368
122323376953018
13b370859bc110
144dbb033d7940
152507829e14d5
hex125fab0f7554

20202101110100 has 144 divisors (see below), whose sum is σ = 53970196186368. Its totient is φ = 6391849052160.

The previous prime is 20202101110091. The next prime is 20202101110181. The reversal of 20202101110100 is 101110120202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32515964 + ... + 33131436.

It is an arithmetic number, because the mean of its divisors is an integer number (374793029072).

Almost surely, 220202101110100 is an apocalyptic number.

20202101110100 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 20202101110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26985098093184).

20202101110100 is an abundant number, since it is smaller than the sum of its proper divisors (33768095076268).

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

20202101110100 is a wasteful number, since it uses less digits than its factorization.

20202101110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619114 (or 619107 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 20202101110100 its reverse (101110120202), we get a palindrome (20303211230302).

The spelling of 20202101110100 in words is "twenty trillion, two hundred two billion, one hundred one million, one hundred ten thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 260 325 350 364 455 650 700 910 1300 1820 2275 3607 4550 7214 9100 14428 18035 25249 36070 46891 50498 72140 90175 93782 100996 126245 180350 187564 234455 252490 328237 360700 468910 504980 615473 631225 656474 937820 1172275 1230946 1262450 1312948 1641185 2344550 2461892 2524900 3077365 3282370 4308311 4689100 6154730 6564740 8001149 8205925 8616622 12309460 15386825 16002298 16411850 17233244 21541555 30773650 32004596 32823700 40005745 43083110 56008043 61547300 80011490 86166220 107707775 112016086 160022980 200028725 215415550 224032172 280040215 400057450 430831100 560080430 800114900 1120160860 1400201075 2220011111 2800402150 4440022222 5600804300 8880044444 11100055555 15540077777 22200111110 28860144443 31080155554 44400222220 55500277775 57720288886 62160311108 77700388885 111000555550 115440577772 144300722215 155400777770 202021011101 222001111100 288601444430 310801555540 388501944425 404042022202 577202888860 721503611075 777003888850 808084044404 1010105055505 1443007222150 1554007777700 2020210111010 2886014444300 4040420222020 5050525277525 10101050555050 20202101110100