Search a number
-
+
20111233001013 = 347113224504249
BaseRepresentation
bin1001001001010100000101…
…11001100010011000110101
32122012121121101222102110000
410210222002321202120311
510114000301122013023
6110434550051221513
74143663046645320
oct444520271423065
978177541872400
1020111233001013
116454142804050
1223098372a7899
13b2b63408b02b
144d75630c17b7
1524d215337243
hex124a82e62635

20111233001013 has 40 divisors (see below), whose sum is σ = 37455841368000. Its totient is φ = 10447393763520.

The previous prime is 20111233001009. The next prime is 20111233001039. The reversal of 20111233001013 is 31010033211102.

20111233001013 is a `hidden beast` number, since 201 + 112 + 330 + 0 + 10 + 13 = 666.

It is not a de Polignac number, because 20111233001013 - 22 = 20111233001009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20111233001053) 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 39 ways as a sum of consecutive naturals, for example, 1612245888 + ... + 1612258361.

It is an arithmetic number, because the mean of its divisors is an integer number (936396034200).

Almost surely, 220111233001013 is an apocalyptic number.

It is an amenable number.

20111233001013 is a deficient number, since it is larger than the sum of its proper divisors (17344608366987).

20111233001013 is a wasteful number, since it uses less digits than its factorization.

20111233001013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3224504279 (or 3224504270 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 20111233001013 its reverse (31010033211102), we get a palindrome (51121266212115).

The spelling of 20111233001013 in words is "twenty trillion, one hundred eleven billion, two hundred thirty-three million, one thousand, thirteen".

Divisors: 1 3 7 9 11 21 27 33 63 77 81 99 189 231 297 567 693 891 2079 6237 3224504249 9673512747 22571529743 29020538241 35469546739 67714589229 87061614723 106408640217 203143767687 248286827173 261184844169 319225920651 609431303061 744860481519 957677761953 1828293909183 2234581444557 2873033285859 6703744333671 20111233001013