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211313401 = 13293715149
BaseRepresentation
bin11001001100001…
…10001011111001
3112201121211111021
430212012023321
5413044012101
632545102441
75144064025
oct1446061371
9481554437
10211313401
11a930a982
125a927a21
1334a18920
14200c9385
15138415a1
hexc9862f9

211313401 has 16 divisors (see below), whose sum is σ = 241794000. Its totient is φ = 183230208.

The previous prime is 211313393. The next prime is 211313411. The reversal of 211313401 is 104313112.

211313401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 4644025 + 206669376 = 2155^2 + 14376^2 .

It is a cyclic number.

It is not a de Polignac number, because 211313401 - 23 = 211313393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (211313411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6375 + ... + 21523.

It is an arithmetic number, because the mean of its divisors is an integer number (15112125).

Almost surely, 2211313401 is an apocalyptic number.

It is an amenable number.

211313401 is a deficient number, since it is larger than the sum of its proper divisors (30480599).

211313401 is a wasteful number, since it uses less digits than its factorization.

211313401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15228.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 211313401 is about 14536.6227508318. The cubic root of 211313401 is about 595.6287879935.

Adding to 211313401 its reverse (104313112), we get a palindrome (315626513).

The spelling of 211313401 in words is "two hundred eleven million, three hundred thirteen thousand, four hundred one".

Divisors: 1 13 29 37 377 481 1073 13949 15149 196937 439321 560513 5711173 7286669 16254877 211313401