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2212101011 = 1961267467
BaseRepresentation
bin1000001111011001…
…1111101110010011
312201011110101010002
42003312133232103
514012244213021
61003301000215
7105550356041
oct20366375623
95634411102
102212101011
11a3574525a
125189b306b
132933aa613
1416db0b391
15ce30c50b
hex83d9fb93

2212101011 has 24 divisors (see below), whose sum is σ = 2407803840. Its totient is φ = 2026205280.

The previous prime is 2212100999. The next prime is 2212101019. The reversal of 2212101011 is 1101012122.

It is not a de Polignac number, because 2212101011 - 210 = 2212099987 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2212100983 and 2212101001.

It is not an unprimeable number, because it can be changed into a prime (2212101019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4736600 + ... + 4737066.

It is an arithmetic number, because the mean of its divisors is an integer number (100325160).

Almost surely, 22212101011 is an apocalyptic number.

2212101011 is a deficient number, since it is larger than the sum of its proper divisors (195702829).

2212101011 is an equidigital number, since it uses as much as digits as its factorization.

2212101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 2212101011 is about 47032.9779091224. The cubic root of 2212101011 is about 1302.9717048797.

Adding to 2212101011 its reverse (1101012122), we get a palindrome (3313113133).

Subtracting from 2212101011 its reverse (1101012122), we obtain a square (1111088889 = 333332).

The spelling of 2212101011 in words is "two billion, two hundred twelve million, one hundred one thousand, eleven".

Divisors: 1 19 61 67 467 1159 1273 3721 4087 8873 28487 31289 70699 77653 249307 541253 594491 1737707 1908629 4736833 33016433 36263951 116426369 2212101011