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211103424 = 26327411277
BaseRepresentation
bin11001001010100…
…10111011000000
3112201020011110100
430211102323000
5413020302144
632540402400
75142230610
oct1445227300
9481204410
10211103424
11a9187144
125a846400
133497418c
1420072a40
15137ee269
hexc952ec0

211103424 has 168 divisors, whose sum is σ = 708952608. Its totient is φ = 58798080.

The previous prime is 211103413. The next prime is 211103429. The reversal of 211103424 is 424301112.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 211103397 and 211103406.

It is not an unprimeable number, because it can be changed into a prime (211103429) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164674 + ... + 165950.

It is an arithmetic number, because the mean of its divisors is an integer number (4219956).

Almost surely, 2211103424 is an apocalyptic number.

211103424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211103424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354476304).

211103424 is an abundant number, since it is smaller than the sum of its proper divisors (497849184).

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

211103424 is a wasteful number, since it uses less digits than its factorization.

211103424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1343 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 211103424 is about 14529.3986110919. The cubic root of 211103424 is about 595.4314353187.

Adding to 211103424 its reverse (424301112), we get a palindrome (635404536).

The spelling of 211103424 in words is "two hundred eleven million, one hundred three thousand, four hundred twenty-four".