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220201010201120 = 25513167633927367
BaseRepresentation
bin110010000100010110001010…
…111111100000001000100000
31001212200000022000020210010212
4302010112022333200020200
5212330233132102413440
62100154540401513252
764244666211012254
oct6204261277401040
91055600260223125
10220201010201120
11641877a66a2643
1220844520942828
1395b3b34c61210
143c53b001a8264
151a6ce00de3465
hexc8458afe0220

220201010201120 has 96 divisors (see below), whose sum is σ = 563596930084608. Its totient is φ = 80818132036608.

The previous prime is 220201010201111. The next prime is 220201010201177. The reversal of 220201010201120 is 21102010102022.

It is a junction number, because it is equal to n+sod(n) for n = 220201010201095 and 220201010201104.

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, 316616324 + ... + 317311043.

It is an arithmetic number, because the mean of its divisors is an integer number (5870801355048).

Almost surely, 2220201010201120 is an apocalyptic number.

220201010201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220201010201120 is an abundant number, since it is smaller than the sum of its proper divisors (343395919883488).

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

220201010201120 is a wasteful number, since it uses less digits than its factorization.

220201010201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633927562 (or 633927554 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 220201010201120 its reverse (21102010102022), we get a palindrome (241303020303142).

The spelling of 220201010201120 in words is "two hundred twenty trillion, two hundred one billion, ten million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 167 208 260 334 416 520 668 835 1040 1336 1670 2080 2171 2672 3340 4342 5344 6680 8684 10855 13360 17368 21710 26720 34736 43420 69472 86840 173680 347360 633927367 1267854734 2535709468 3169636835 5071418936 6339273670 8241055771 10142837872 12678547340 16482111542 20285675744 25357094680 32964223084 41205278855 50714189360 65928446168 82410557710 101428378720 105865870289 131856892336 164821115420 211731740578 263713784672 329642230840 423463481156 529329351445 659284461680 846926962312 1058658702890 1318568923360 1376256313757 1693853924624 2117317405780 2752512627514 3387707849248 4234634811560 5505025255028 6881281568785 8469269623120 11010050510056 13762563137570 16938539246240 22020101020112 27525126275140 44040202040224 55050252550280 110100505100560 220201010201120