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20022112100200 = 23527106433134371
BaseRepresentation
bin1001000110101110000101…
…11000010001111101101000
32121220002120102021120200211
410203113002320101331220
510111020241144201300
6110330010433110504
74134356413540210
oct443270270217550
977802512246624
1020022112100200
11641a36a33a211
1222b45049b8434
13b23100424cb2
144d310ac5d240
1524ac4b2594ba
hex1235c2e11f68

20022112100200 has 96 divisors (see below), whose sum is σ = 53202507946560. Its totient is φ = 6864608563200.

The previous prime is 20022112100149. The next prime is 20022112100209. The reversal of 20022112100200 is 200121122002.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (20022112100209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148939015 + ... + 149073385.

It is an arithmetic number, because the mean of its divisors is an integer number (554192791110).

Almost surely, 220022112100200 is an apocalyptic number.

20022112100200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20022112100200 is an abundant number, since it is smaller than the sum of its proper divisors (33180395846360).

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

20022112100200 is a wasteful number, since it uses less digits than its factorization.

20022112100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240827 (or 240818 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 20022112100200 its reverse (200121122002), we get a palindrome (20222233222202).

The spelling of 20022112100200 in words is "twenty trillion, twenty-two billion, one hundred twelve million, one hundred thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 106433 134371 212866 268742 425732 532165 537484 671855 745031 851464 940597 1064330 1074968 1343710 1490062 1881194 2128660 2660825 2687420 2980124 3359275 3725155 3762388 4257320 4702985 5321650 5374840 5960248 6718550 7450310 7524776 9405970 10643300 13437100 14900620 18625775 18811940 21286600 23514925 26874200 29801240 37251550 37623880 47029850 74503100 94059700 149006200 188119400 14301508643 28603017286 57206034572 71507543215 100110560501 114412069144 143015086430 200221121002 286030172860 357537716075 400442242004 500552802505 572060345720 715075432150 800884484008 1001105605010 1430150864300 2002211210020 2502764012525 2860301728600 4004422420040 5005528025050 10011056050100 20022112100200