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2210011013322 = 232724161114181
BaseRepresentation
bin100000001010001110111…
…010111110000011001010
321211021102110121201000200
4200022032322332003022
5242202100304411242
64411133125513030
7315445063443600
oct40121672760312
97737373551020
102210011013322
11782295669512
122b8394272776
13130531928868
1478d7235d870
153c74a28804c
hex2028eebe0ca

2210011013322 has 72 divisors (see below), whose sum is σ = 5705986716612. Its totient is φ = 616030934400.

The previous prime is 2210011013311. The next prime is 2210011013333. The reversal of 2210011013322 is 2233101100122.

2210011013322 is a `hidden beast` number, since 221 + 0 + 0 + 110 + 1 + 332 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2210011013311) and next prime (2210011013333).

It can be written as a sum of positive squares in 2 ways, for example, as 1621168109001 + 588842904321 = 1273251^2 + 767361^2 .

It is a super-2 number, since 2×22100110133222 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2210011013295 and 2210011013304.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 30520929 + ... + 30593252.

Almost surely, 22210011013322 is an apocalyptic number.

2210011013322 is an abundant number, since it is smaller than the sum of its proper divisors (3495975703290).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2210011013322 is a wasteful number, since it uses less digits than its factorization.

2210011013322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61114244 (or 61114234 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2210011013322 its reverse (2233101100122), we get a palindrome (4443112113444).

The spelling of 2210011013322 in words is "two trillion, two hundred ten billion, eleven million, thirteen thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 41 42 49 63 82 98 123 126 147 246 287 294 369 441 574 738 861 882 1722 2009 2583 4018 5166 6027 12054 18081 36162 61114181 122228362 183342543 366685086 427799267 550027629 855598534 1100055258 1283397801 2505681421 2566795602 2994594869 3850193403 5011362842 5989189738 7517044263 7700386806 8983784607 15034088526 17539769947 17967569214 22551132789 26951353821 35079539894 45102265578 52619309841 53902707642 105238619682 122778389629 157857929523 245556779258 315715859046 368335168887 736670337774 1105005506661 2210011013322