Search a number
-
+
210002200100100 = 2232522099111165211
BaseRepresentation
bin101111101111111011110010…
…100010011111110100000100
31000112120000101101201222100200
4233233323302202133310010
5210011134001211200400
62022345402350210500
762143105200346122
oct5757736242376404
91015500341658320
10210002200100100
1160a05484235111
121b6779bbab3a30
139024179182485
1439c0237018912
15194298c21db00
hexbefef289fd04

210002200100100 has 108 divisors (see below), whose sum is σ = 658553832409200. Its totient is φ = 55973906539200.

The previous prime is 210002200100089. The next prime is 210002200100101. The reversal of 210002200100100 is 1001002200012.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (210002200100101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 53693506 + ... + 57471705.

Almost surely, 2210002200100100 is an apocalyptic number.

210002200100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210002200100100 is an abundant number, since it is smaller than the sum of its proper divisors (448551632309100).

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

210002200100100 is a wasteful number, since it uses less digits than its factorization.

210002200100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111167330 (or 111167320 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 210002200100100 its reverse (1001002200012), we get a palindrome (211003202300112).

The spelling of 210002200100100 in words is "two hundred ten trillion, two billion, two hundred million, one hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 2099 4198 6297 8396 10495 12594 18891 20990 25188 31485 37782 41980 52475 62970 75564 94455 104950 125940 157425 188910 209900 314850 377820 472275 629700 944550 1889100 111165211 222330422 333495633 444660844 555826055 666991266 1000486899 1111652110 1333982532 1667478165 2000973798 2223304220 2779130275 3334956330 4001947596 5002434495 5558260550 6669912660 8337390825 10004868990 11116521100 16674781650 20009737980 25012172475 33349563300 50024344950 100048689900 233335777889 466671555778 700007333667 933343111556 1166678889445 1400014667334 2100022001001 2333357778890 2800029334668 3500036668335 4200044002002 4666715557780 5833394447225 7000073336670 8400088004004 10500110005005 11666788894450 14000146673340 17500183341675 21000220010010 23333577788900 35000366683350 42000440020020 52500550025025 70000733366700 105001100050050 210002200100100