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211116430 = 2578593511
BaseRepresentation
bin11001001010101…
…10000110001110
3112201020211022001
430211112012032
5413021211210
632540542514
75142313540
oct1445260616
9481224261
10211116430
11a9195998
125a851a3a
133497a085
1420077690
151380303a
hexc95618e

211116430 has 32 divisors (see below), whose sum is σ = 434926080. Its totient is φ = 72277920.

The previous prime is 211116427. The next prime is 211116439. The reversal of 211116430 is 34611112.

211116430 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 211116398 and 211116407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211116439) 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 15 ways as a sum of consecutive naturals, for example, 58375 + ... + 61885.

It is an arithmetic number, because the mean of its divisors is an integer number (13591440).

Almost surely, 2211116430 is an apocalyptic number.

211116430 is an abundant number, since it is smaller than the sum of its proper divisors (223809650).

211116430 is a wasteful number, since it uses less digits than its factorization.

211116430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4384.

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 211116430 is about 14529.8461795024. The cubic root of 211116430 is about 595.4436631675.

Adding to 211116430 its reverse (34611112), we get a palindrome (245727542).

The spelling of 211116430 in words is "two hundred eleven million, one hundred sixteen thousand, four hundred thirty".

Divisors: 1 2 5 7 10 14 35 70 859 1718 3511 4295 6013 7022 8590 12026 17555 24577 30065 35110 49154 60130 122885 245770 3015949 6031898 15079745 21111643 30159490 42223286 105558215 211116430