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20021101000112 = 2417167868150773
BaseRepresentation
bin1001000110101100001101…
…00111001111010110110000
32121212222221221201101010102
410203112012213033112300
510111011203324000422
6110325322233451532
74134322355405432
oct443260647172660
977788857641112
1020021101000112
1164199a0624803
1222b4282270ba8
13b22c9bacc614
144d3052862652
1524abdc5d4192
hex1235869cf5b0

20021101000112 has 80 divisors (see below), whose sum is σ = 41324217705792. Its totient is φ = 9364013998080.

The previous prime is 20021101000097. The next prime is 20021101000127. The reversal of 20021101000112 is 21100010112002.

It is an interprime number because it is at equal distance from previous prime (20021101000097) and next prime (20021101000127).

It is a junction number, because it is equal to n+sod(n) for n = 20021101000093 and 20021101000102.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 394300358 + ... + 394351130.

Almost surely, 220021101000112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20021101000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20662108852896).

20021101000112 is an abundant number, since it is smaller than the sum of its proper divisors (21303116705680).

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

20021101000112 is a wasteful number, since it uses less digits than its factorization.

20021101000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59646 (or 59640 counting only the distinct ones).

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

Adding to 20021101000112 its reverse (21100010112002), we get a palindrome (41121111112114).

The spelling of 20021101000112 in words is "twenty trillion, twenty-one billion, one hundred one million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 8 16 17 34 68 136 167 272 334 668 1336 2672 2839 5678 8681 11356 17362 22712 34724 45424 50773 69448 101546 138896 147577 203092 295154 406184 590308 812368 863141 1180616 1449727 1726282 2361232 2899454 3452564 5798908 6905128 8479091 11597816 13810256 16958182 23195632 24645359 33916364 49290718 67832728 98581436 135665456 144144547 197162872 288289094 394325744 440760413 576578188 881520826 1153156376 1763041652 2306312752 3526083304 7052166608 7492927021 14985854042 29971708084 59943416168 73606988971 119886832336 147213977942 294427955884 588855911768 1177711823536 1251318812507 2502637625014 5005275250028 10010550500056 20021101000112