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2211012011 = 132363111719
BaseRepresentation
bin1000001111001001…
…0101110110101011
312201002102001021202
42003302111312223
514012004341021
61003221354415
7105535202105
oct20362256653
95632361252
102211012011
11a3507105a
12518568a0b
132930b8a40
1416d906575
15ce194a0b
hex83c95dab

2211012011 has 16 divisors (see below), whose sum is σ = 2488765440. Its totient is φ = 1948937760.

The previous prime is 2211011983. The next prime is 2211012019. The reversal of 2211012011 is 1102101122.

It is a cyclic number.

It is not a de Polignac number, because 2211012011 - 210 = 2211010987 is a prime.

It is a super-2 number, since 2×22110120112 = 9777148225572528242, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2211011983 and 2211012001.

It is not an unprimeable number, because it can be changed into a prime (2211012019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182810 + ... + 194528.

It is an arithmetic number, because the mean of its divisors is an integer number (155547840).

Almost surely, 22211012011 is an apocalyptic number.

2211012011 is a deficient number, since it is larger than the sum of its proper divisors (277753429).

2211012011 is a wasteful number, since it uses less digits than its factorization.

2211012011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12386.

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

The square root of 2211012011 is about 47021.3995006529. The cubic root of 2211012011 is about 1302.7578555291.

Adding to 2211012011 its reverse (1102101122), we get a palindrome (3313113133).

The spelling of 2211012011 in words is "two billion, two hundred eleven million, twelve thousand, eleven".

Divisors: 1 13 23 299 631 8203 11719 14513 152347 188669 269537 3503981 7394689 96130957 170077847 2211012011