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211414401 = 33111036911
BaseRepresentation
bin11001001100111…
…10110110000001
3112201210222001000
430212132312001
5413110230101
632551202213
75144664342
oct1446366601
9481728030
10211414401
11a9379850
125a976369
1334a528a3
14201140c9
1513861486
hexc99ed81

211414401 has 32 divisors (see below), whose sum is σ = 345047040. Its totient is φ = 126867600.

The previous prime is 211414361. The next prime is 211414429. The reversal of 211414401 is 104414112.

211414401 is a `hidden beast` number, since 211 + 414 + 40 + 1 = 666.

211414401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 211414401 - 211 = 211412353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (211414001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27136 + ... + 34046.

It is an arithmetic number, because the mean of its divisors is an integer number (10782720).

Almost surely, 2211414401 is an apocalyptic number.

It is an amenable number.

211414401 is a deficient number, since it is larger than the sum of its proper divisors (133632639).

211414401 is a wasteful number, since it uses less digits than its factorization.

211414401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7034 (or 7028 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 211414401 is about 14540.0963201761. The cubic root of 211414401 is about 595.7236690648.

Adding to 211414401 its reverse (104414112), we get a palindrome (315828513).

The spelling of 211414401 in words is "two hundred eleven million, four hundred fourteen thousand, four hundred one".

Divisors: 1 3 9 11 27 33 99 103 297 309 927 1133 2781 3399 6911 10197 20733 30591 62199 76021 186597 228063 684189 711833 2052567 2135499 6406497 7830163 19219491 23490489 70471467 211414401