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219419101 = 1126532777
BaseRepresentation
bin11010001010000…
…01000111011101
3120021212122102101
431011001013131
5422132402401
633434525101
75303013556
oct1505010735
9507778371
10219419101
11102946900
1261596791
13365c61b5
14211d932d
15143e3101
hexd1411dd

219419101 has 12 divisors (see below), whose sum is σ = 241635996. Its totient is φ = 199094720.

The previous prime is 219419089. The next prime is 219419117. The reversal of 219419101 is 101914912.

It can be written as a sum of positive squares in 2 ways, for example, as 42263001 + 177156100 = 6501^2 + 13310^2 .

It is not a de Polignac number, because 219419101 - 215 = 219386333 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 219419101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (219419401) 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 11 ways as a sum of consecutive naturals, for example, 77625 + ... + 80401.

It is an arithmetic number, because the mean of its divisors is an integer number (20136333).

Almost surely, 2219419101 is an apocalyptic number.

It is an amenable number.

219419101 is a deficient number, since it is larger than the sum of its proper divisors (22216895).

219419101 is a wasteful number, since it uses less digits than its factorization.

219419101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3452 (or 3441 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 28.

The square root of 219419101 is about 14812.8019294123. The cubic root of 219419101 is about 603.1492754455.

The spelling of 219419101 in words is "two hundred nineteen million, four hundred nineteen thousand, one hundred one".

Divisors: 1 11 121 653 2777 7183 30547 79013 336017 1813381 19947191 219419101