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2211124211122 = 217101990165033
BaseRepresentation
bin100000001011010001010…
…001011110110110110010
321211101022001022000022211
4200023101101132312302
5242211340244223442
64411435413322334
7315514501455331
oct40132121366662
97741261260284
102211124211122
11782806a784a2
122b86450363aa
1313067b44a798
147903a135d18
153c7b2d79617
hex202d145edb2

2211124211122 has 32 divisors (see below), whose sum is σ = 3546968407344. Its totient is φ = 1030106880000.

The previous prime is 2211124211119. The next prime is 2211124211147.

2211124211122 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 2111153786361 + 99970424761 = 1452981^2 + 316181^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2211124211093 and 2211124211102.

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 15 ways as a sum of consecutive naturals, for example, 33967518 + ... + 34032550.

Almost surely, 22211124211122 is an apocalyptic number.

2211124211122 is a deficient number, since it is larger than the sum of its proper divisors (1335844196222).

2211124211122 is a wasteful number, since it uses less digits than its factorization.

2211124211122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75054.

The product of its digits is 256, while the sum is 22.

The spelling of 2211124211122 in words is "two trillion, two hundred eleven billion, one hundred twenty-four million, two hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 17 34 101 202 1717 3434 9901 19802 65033 130066 168317 336634 1000001 1105561 2000002 2211122 6568333 13136666 17000017 34000034 111661661 223323322 643891733 1287783466 10946159461 21892318922 65033065033 130066130066 1105562105561 2211124211122