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211114246101 = 31131206367787
BaseRepresentation
bin1100010010011101100…
…0111011111111010101
3202011220220200212220220
43010213120323333111
511424330221333401
6240552354544553
721152415324603
oct3044730737725
9664826625826
10211114246101
1181595540860
1234ab9898159
1316ba5b07765
14a30a210873
15575907e336
hex312763bfd5

211114246101 has 16 divisors (see below), whose sum is σ = 316980922368. Its totient is φ = 123820671600.

The previous prime is 211114246093. The next prime is 211114246111. The reversal of 211114246101 is 101642411112.

It is a happy number.

It is not a de Polignac number, because 211114246101 - 23 = 211114246093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211114246111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103182871 + ... + 103184916.

It is an arithmetic number, because the mean of its divisors is an integer number (19811307648).

Almost surely, 2211114246101 is an apocalyptic number.

It is an amenable number.

211114246101 is a deficient number, since it is larger than the sum of its proper divisors (105866676267).

211114246101 is a wasteful number, since it uses less digits than its factorization.

211114246101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206367832.

The product of its (nonzero) digits is 384, while the sum is 24.

Adding to 211114246101 its reverse (101642411112), we get a palindrome (312756657213).

The spelling of 211114246101 in words is "two hundred eleven billion, one hundred fourteen million, two hundred forty-six thousand, one hundred one".

Divisors: 1 3 11 31 33 93 341 1023 206367787 619103361 2270045657 6397401397 6810136971 19192204191 70371415367 211114246101