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211211100011220 = 223517769891980983
BaseRepresentation
bin110000000001100001101010…
…100101101011101011010100
31000200211120202201012102012220
4300001201222211223223110
5210140440313100324340
62025113012334542340
762326332645140661
oct6001415245535324
91020746681172186
10211211100011220
1161331140770151
121b8321620679b0
1390b117657537a
143a22959542a68
151964143414ed0
hexc0186a96bad4

211211100011220 has 48 divisors (see below), whose sum is σ = 591391711370880. Its totient is φ = 56322899875456.

The previous prime is 211211100011147. The next prime is 211211100011291. The reversal of 211211100011220 is 22110001112112.

It is a happy number.

It is a super-2 number, since 2×2112111000112202 (a number of 29 digits) contains 22 as substring.

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 211211100011220.

It is a congruent number.

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, 105628849 + ... + 107609831.

It is an arithmetic number, because the mean of its divisors is an integer number (12320660653560).

Almost surely, 2211211100011220 is an apocalyptic number.

211211100011220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211211100011220 is an abundant number, since it is smaller than the sum of its proper divisors (380180611359660).

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

211211100011220 is a wasteful number, since it uses less digits than its factorization.

211211100011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3757984 (or 3757982 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 211211100011220 its reverse (22110001112112), we get a palindrome (233321101123332).

The spelling of 211211100011220 in words is "two hundred eleven trillion, two hundred eleven billion, one hundred million, eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1776989 1980983 3553978 3961966 5330967 5942949 7107956 7923932 8884945 9904915 10661934 11885898 17769890 19809830 21323868 23771796 26654835 29714745 35539780 39619660 53309670 59429490 106619340 118858980 3520185000187 7040370000374 10560555000561 14080740000748 17600925000935 21121110001122 35201850001870 42242220002244 52802775002805 70403700003740 105605550005610 211211100011220