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30222100201200 = 2435287728717313
BaseRepresentation
bin1101101111100101000011…
…00010111111111011110000
310222000012112010101222122220
412313302201202333323300
512430124330122414300
6144135501405201040
76236321550062535
oct667624142777360
9128005463358586
1030222100201200
1196a2136747546
1234812b4260180
1313b2c1629464b
14766a86652d8c
1537622d570da0
hex1b7ca18bfef0

30222100201200 has 120 divisors (see below), whose sum is σ = 96921853704048. Its totient is φ = 8050036899840.

The previous prime is 30222100201177. The next prime is 30222100201229. The reversal of 30222100201200 is 210200122203.

It is a happy number.

30222100201200 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 30222100201200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13306257 + ... + 15411056.

Almost surely, 230222100201200 is an apocalyptic number.

30222100201200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30222100201200 is an abundant number, since it is smaller than the sum of its proper divisors (66699753502848).

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

30222100201200 is a wasteful number, since it uses less digits than its factorization.

30222100201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28718211 (or 28718200 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 30222100201200 its reverse (210200122203), we get a palindrome (30432300323403).

The spelling of 30222100201200 in words is "thirty trillion, two hundred twenty-two billion, one hundred million, two hundred one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 877 1200 1754 2631 3508 4385 5262 7016 8770 10524 13155 14032 17540 21048 21925 26310 35080 42096 43850 52620 65775 70160 87700 105240 131550 175400 210480 263100 350800 526200 1052400 28717313 57434626 86151939 114869252 143586565 172303878 229738504 287173130 344607756 430759695 459477008 574346260 689215512 717932825 861519390 1148692520 1378431024 1435865650 1723038780 2153798475 2297385040 2871731300 3446077560 4307596950 5743462600 6892155120 8615193900 11486925200 17230387800 25185083501 34460775600 50370167002 75555250503 100740334004 125925417505 151110501006 201480668008 251850835010 302221002012 377776252515 402961336016 503701670020 604442004024 629627087525 755552505030 1007403340040 1208884008048 1259254175050 1511105010060 1888881262575 2014806680080 2518508350100 3022210020120 3777762525150 5037016700200 6044420040240 7555525050300 10074033400400 15111050100600 30222100201200