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211020221200 = 24521074930379
BaseRepresentation
bin1100010010000111001…
…0010000101100010000
3202011200100202221000011
43010201302100230100
511424132134034300
6240535155404304
721150164166535
oct3044162205420
9664610687004
10211020221200
1181547460528
1234a922b3694
1316b8c4a6819
14a2db936d8c
155750ba9eba
hex3121c90b10

211020221200 has 60 divisors (see below), whose sum is σ = 511714279440. Its totient is φ = 83619210880.

The previous prime is 211020221123. The next prime is 211020221219. The reversal of 211020221200 is 2122020112.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2422390 + ... + 2507989.

It is an arithmetic number, because the mean of its divisors is an integer number (8528571324).

Almost surely, 2211020221200 is an apocalyptic number.

211020221200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211020221200 is an abundant number, since it is smaller than the sum of its proper divisors (300694058240).

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

211020221200 is a wasteful number, since it uses less digits than its factorization.

211020221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4930504 (or 4930493 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 211020221200 its reverse (2122020112), we get a palindrome (213142241312).

The spelling of 211020221200 in words is "two hundred eleven billion, twenty million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 107 200 214 400 428 535 856 1070 1712 2140 2675 4280 5350 8560 10700 21400 42800 4930379 9860758 19721516 24651895 39443032 49303790 78886064 98607580 123259475 197215160 246518950 394430320 493037900 527550553 986075800 1055101106 1972151600 2110202212 2637752765 4220404424 5275505530 8440808848 10551011060 13188763825 21102022120 26377527650 42204044240 52755055300 105510110600 211020221200