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20022001120100 = 22527163332352807
BaseRepresentation
bin1001000110101101111000…
…10000111011001101100100
32121220002021200110012121202
410203112330100323031210
510111020024241320400
6110325551430302032
74134353565324110
oct443267420731544
977802250405552
1020022001120100
11641a312729221
1222b44937b7918
13b230b34387b5
144d30da210740
1524ac416364d5
hex1235bc43b364

20022001120100 has 144 divisors (see below), whose sum is σ = 49975172717568. Its totient is φ = 6820389164160.

The previous prime is 20022001120019. The next prime is 20022001120123. The reversal of 20022001120100 is 102110022002.

It is a happy 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, 379127897 + ... + 379180703.

Almost surely, 220022001120100 is an apocalyptic number.

20022001120100 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 20022001120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24987586358784).

20022001120100 is an abundant number, since it is smaller than the sum of its proper divisors (29953171597468).

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

20022001120100 is a wasteful number, since it uses less digits than its factorization.

20022001120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56314 (or 56307 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 20022001120100 its reverse (102110022002), we get a palindrome (20124111142102).

The spelling of 20022001120100 in words is "twenty trillion, twenty-two billion, one million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 163 175 326 350 652 700 815 1141 1630 2282 3260 3323 4075 4564 5705 6646 8150 11410 13292 16300 16615 22820 23261 28525 33230 46522 52807 57050 66460 83075 93044 105614 114100 116305 166150 211228 232610 264035 332300 369649 465220 528070 541649 581525 739298 1056140 1083298 1163050 1320175 1478596 1848245 2166596 2326100 2640350 2708245 3696490 3791543 5280700 5416490 7392980 7583086 8607541 9241225 10832980 13541225 15166172 17215082 18482450 18957715 27082450 34430164 36964900 37915430 43037705 54164900 60252787 75830860 86075410 94788575 120505574 172150820 175477661 189577150 215188525 241011148 301263935 350955322 379154300 430377050 602527870 701910644 860754100 877388305 1205055740 1228343627 1506319675 1754776610 2456687254 3012639350 3509553220 4386941525 4913374508 6025278700 6141718135 8773883050 12283436270 17547766100 24566872540 28602858743 30708590675 57205717486 61417181350 114411434972 122834362700 143014293715 200220011201 286028587430 400440022402 572057174860 715071468575 800880044804 1001100056005 1430142937150 2002200112010 2860285874300 4004400224020 5005500280025 10011000560050 20022001120100