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200210220012120 = 233523631114960277
BaseRepresentation
bin101101100001011100010011…
…000010110101001001011000
3222020212220120110200011002020
4231201130103002311021120
5202220221012310341440
61545451145541534440
760112465615040313
oct5541342302651130
9866786513604066
10200210220012120
115887a74a7aa95a
121a5560b9714420
138793986a3b5b6
14376232517997a
151822dd98803d0
hexb617130b5258

200210220012120 has 128 divisors (see below), whose sum is σ = 627738298813440. Its totient is φ = 50987181611520.

The previous prime is 200210220012079. The next prime is 200210220012133. The reversal of 200210220012120 is 21210022012002.

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 200210220012120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55738579 + ... + 59221698.

It is an arithmetic number, because the mean of its divisors is an integer number (4904205459480).

Almost surely, 2200210220012120 is an apocalyptic number.

200210220012120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200210220012120 is an abundant number, since it is smaller than the sum of its proper divisors (427528078801320).

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

200210220012120 is a wasteful number, since it uses less digits than its factorization.

200210220012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114960945 (or 114960941 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 200210220012120 its reverse (21210022012002), we get a palindrome (221420242024122).

The spelling of 200210220012120 in words is "two hundred trillion, two hundred ten billion, two hundred twenty million, twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 631 690 920 1262 1380 1893 2524 2760 3155 3786 5048 6310 7572 9465 12620 14513 15144 18930 25240 29026 37860 43539 58052 72565 75720 87078 116104 145130 174156 217695 290260 348312 435390 580520 870780 1741560 114960277 229920554 344880831 459841108 574801385 689761662 919682216 1149602770 1379523324 1724404155 2299205540 2644086371 2759046648 3448808310 4598411080 5288172742 6897616620 7932259113 10576345484 13220431855 13795233240 15864518226 21152690968 26440863710 31729036452 39661295565 52881727420 63458072904 72539934787 79322591130 105763454840 145079869574 158645182260 217619804361 290159739148 317290364520 362699673935 435239608722 580319478296 725399347870 870479217444 1088099021805 1450798695740 1668418500101 1740958434888 2176198043610 2901597391480 3336837000202 4352396087220 5005255500303 6673674000404 8342092500505 8704792174440 10010511000606 13347348000808 16684185001010 20021022001212 25026277501515 33368370002020 40042044002424 50052555003030 66736740004040 100105110006060 200210220012120