Search a number
-
+
10101121202200 = 2352743167792711
BaseRepresentation
bin1001001011111101100110…
…1111011011100000011000
31022202122202111121120100111
42102333121233123200120
52310444044011432300
633252220243214104
72061532125363010
oct222773157334030
938678674546314
1010101121202200
113244952645a06
1211717b9077334
135836bb030302
1426cc7b04ac40
15127b478009ba
hex92fd9bdb818

10101121202200 has 96 divisors (see below), whose sum is σ = 27464311100160. Its totient is φ = 3382701033600.

The previous prime is 10101121202191. The next prime is 10101121202201. The reversal of 10101121202200 is 220212110101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101121202201) 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, 83836156 + ... + 83956555.

It is an arithmetic number, because the mean of its divisors is an integer number (286086573960).

Almost surely, 210101121202200 is an apocalyptic number.

10101121202200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101121202200 is an abundant number, since it is smaller than the sum of its proper divisors (17363189897960).

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

10101121202200 is a wasteful number, since it uses less digits than its factorization.

10101121202200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167792777 (or 167792768 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10101121202200 its reverse (220212110101), we get a palindrome (10321333312301).

The spelling of 10101121202200 in words is "ten trillion, one hundred one billion, one hundred twenty-one million, two hundred two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 43 50 56 70 86 100 140 172 175 200 215 280 301 344 350 430 602 700 860 1075 1204 1400 1505 1720 2150 2408 3010 4300 6020 7525 8600 12040 15050 30100 60200 167792711 335585422 671170844 838963555 1174548977 1342341688 1677927110 2349097954 3355854220 4194817775 4698195908 5872744885 6711708440 7215086573 8389635550 9396391816 11745489770 14430173146 16779271100 23490979540 28860346292 29363724425 33558542200 36075432865 46981959080 50505606011 57720692584 58727448850 72150865730 101011212022 117454897700 144301731460 180377164325 202022424044 234909795400 252528030055 288603462920 360754328650 404044848088 505056060110 721508657300 1010112120220 1262640150275 1443017314600 2020224240440 2525280300550 5050560601100 10101121202200