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20021121120100 = 22522910382781049
BaseRepresentation
bin1001000110101100001111…
…10011111111011101100100
32121220000000100120120120011
410203112013303333131210
510111011224001320400
6110325324233020004
74134323021414332
oct443260763773544
977800010516504
1020021121120100
116419a00a171a1
1222b4288b54604
13b22ca3025539
144d30553bcb52
1524abde25a8ba
hex123587cff764

20021121120100 has 144 divisors (see below), whose sum is σ = 45435748176000. Its totient is φ = 7647870827520.

The previous prime is 20021121120097. The next prime is 20021121120107. The reversal of 20021121120100 is 102112112002.

It is not an unprimeable number, because it can be changed into a prime (20021121120107) 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, 246984376 + ... + 247065424.

It is an arithmetic number, because the mean of its divisors is an integer number (315526029000).

Almost surely, 220021121120100 is an apocalyptic number.

20021121120100 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 20021121120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22717874088000).

20021121120100 is an abundant number, since it is smaller than the sum of its proper divisors (25414627055900).

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

20021121120100 is a wasteful number, since it uses less digits than its factorization.

20021121120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82022 (or 82015 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 20021121120100 its reverse (102112112002), we get a palindrome (20123233232102).

The spelling of 20021121120100 in words is "twenty trillion, twenty-one billion, one hundred twenty-one million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 103 116 145 206 290 412 515 580 725 827 1030 1450 1654 2060 2575 2900 2987 3308 4135 5150 5974 8270 10300 11948 14935 16540 20675 23983 29870 41350 47966 59740 74675 81049 82700 85181 95932 119915 149350 162098 170362 239830 298700 324196 340724 405245 425905 479660 599575 810490 851810 1199150 1620980 1703620 2026225 2129525 2350421 2398300 2470249 4052450 4259050 4700842 4940498 8104900 8348047 8518100 9401684 9880996 11752105 12351245 16696094 23504210 24702490 33392188 41740235 47008420 49404980 58760525 61756225 67027523 83480470 117521050 123512450 134055046 166960940 208701175 235042100 242093363 247024900 268110092 335137615 417402350 484186726 670275230 834804700 968373452 1210466815 1340550460 1675688075 1943798167 2420933630 3351376150 3887596334 4841867260 6052334075 6702752300 6903834869 7775192668 9718990835 12104668150 13807669738 19437981670 24209336300 27615339476 34519174345 38875963340 48594954175 69038348690 97189908350 138076697380 172595871725 194379816700 200211211201 345191743450 400422422402 690383486900 800844844804 1001056056005 2002112112010 4004224224020 5005280280025 10010560560050 20021121120100