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11210120020 = 2251124632281
BaseRepresentation
bin10100111000010110…
…01101101101010100
31001221020211002201101
422130023031231110
5140424242320040
65052211435444
7544540306441
oct123413155524
931836732641
1011210120020
114832903100
12220a2b5b84
131098616018
14784b689c8
1545924709a
hex29c2cdb54

11210120020 has 36 divisors (see below), whose sum is σ = 25875927252. Its totient is φ = 4076406400.

The previous prime is 11210120017. The next prime is 11210120057. The reversal of 11210120020 is 2002101211.

11210120020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 7985924496 + 3224195524 = 89364^2 + 56782^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 11210119979 and 11210120006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2313721 + ... + 2318560.

It is an arithmetic number, because the mean of its divisors is an integer number (718775757).

Almost surely, 211210120020 is an apocalyptic number.

11210120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11210120020 is an abundant number, since it is smaller than the sum of its proper divisors (14665807232).

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

11210120020 is a wasteful number, since it uses less digits than its factorization.

11210120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4632312 (or 4632299 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11210120020 its reverse (2002101211), we get a palindrome (13212221231).

The spelling of 11210120020 in words is "eleven billion, two hundred ten million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2420 4632281 9264562 18529124 23161405 46322810 50955091 92645620 101910182 203820364 254775455 509550910 560506001 1019101820 1121012002 2242024004 2802530005 5605060010 11210120020