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213144441220 = 22545491234271
BaseRepresentation
bin1100011010000001100…
…1100001000110000100
3202101011101212111001201
43012200121201012010
511443004434104340
6241530041032244
721253626600034
oct3064031410604
9671141774051
10213144441220
1182437531467
1235385785684
131713a5c4849
14a45dac98c4
15582740879a
hex31a0661184

213144441220 has 24 divisors (see below), whose sum is σ = 447615076608. Its totient is φ = 85255538400.

The previous prime is 213144441197. The next prime is 213144441227. The reversal of 213144441220 is 22144441312.

It is not an unprimeable number, because it can be changed into a prime (213144441227) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 792685 + ... + 1026955.

It is an arithmetic number, because the mean of its divisors is an integer number (18650628192).

Almost surely, 2213144441220 is an apocalyptic number.

213144441220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213144441220 is an abundant number, since it is smaller than the sum of its proper divisors (234470635388).

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

213144441220 is a wasteful number, since it uses less digits than its factorization.

213144441220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279771 (or 279769 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 213144441220 its reverse (22144441312), we get a palindrome (235288882532).

The spelling of 213144441220 in words is "two hundred thirteen billion, one hundred forty-four million, four hundred forty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 45491 90982 181964 227455 234271 454910 468542 909820 937084 1171355 2342710 4685420 10657222061 21314444122 42628888244 53286110305 106572220610 213144441220