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11228053434 = 2313291912049
BaseRepresentation
bin10100111010011111…
…00111111110111010
31001222111120012201220
422131033213332322
5140443340202214
65054052052510
7545145610443
oct123517477672
931874505656
1011228053434
114841a41804
122214304136
13109c254900
147872b62ca
1545aada9a9
hex29d3e7fba

11228053434 has 48 divisors (see below), whose sum is σ = 24344856000. Its totient is φ = 3450739968.

The previous prime is 11228053433. The next prime is 11228053493. The reversal of 11228053434 is 43435082211.

It is a junction number, because it is equal to n+sod(n) for n = 11228053395 and 11228053404.

It is not an unprimeable number, because it can be changed into a prime (11228053433) 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 23 ways as a sum of consecutive naturals, for example, 925842 + ... + 937890.

It is an arithmetic number, because the mean of its divisors is an integer number (507184500).

Almost surely, 211228053434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11228053434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12172428000).

11228053434 is an abundant number, since it is smaller than the sum of its proper divisors (13116802566).

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

11228053434 is a wasteful number, since it uses less digits than its factorization.

11228053434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12999 (or 12986 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 11228053434 in words is "eleven billion, two hundred twenty-eight million, fifty-three thousand, four hundred thirty-four".

Divisors: 1 2 3 6 13 26 39 78 169 338 507 919 1014 1838 2757 5514 11947 12049 23894 24098 35841 36147 71682 72294 155311 156637 310622 313274 465933 469911 931866 939822 2036281 4072562 6108843 11073031 12217686 22146062 33219093 66438186 143949403 287898806 431848209 863696418 1871342239 3742684478 5614026717 11228053434