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20004100140211 = 11232914918298447
BaseRepresentation
bin1001000110001100100010…
…10010000110110010110011
32121211101002010121012122121
410203012101102012302303
510110221344113441321
6110313431242215111
74133151151443265
oct443062122066263
977741063535577
1020004100140211
116412767029070
1222b0b187b4497
13b214bc8979c5
144d22bc9dbb35
1524a544cdc441
hex123191486cb3

20004100140211 has 32 divisors (see below), whose sum is σ = 23714788608000. Its totient is φ = 16682327249280.

The previous prime is 20004100140187. The next prime is 20004100140239. The reversal of 20004100140211 is 11204100140002.

It is a happy number.

It is not a de Polignac number, because 20004100140211 - 237 = 19866661186739 is a prime.

It is a super-3 number, since 3×200041001402113 (a number of 41 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20004100141211) 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 31 ways as a sum of consecutive naturals, for example, 8056011 + ... + 10242436.

It is an arithmetic number, because the mean of its divisors is an integer number (741087144000).

Almost surely, 220004100140211 is an apocalyptic number.

20004100140211 is a deficient number, since it is larger than the sum of its proper divisors (3710688467789).

20004100140211 is a wasteful number, since it uses less digits than its factorization.

20004100140211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18298659.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 20004100140211 its reverse (11204100140002), we get a palindrome (31208200280213).

The spelling of 20004100140211 in words is "twenty trillion, four billion, one hundred million, one hundred forty thousand, two hundred eleven".

Divisors: 1 11 23 29 149 253 319 667 1639 3427 4321 7337 37697 47531 99383 1093213 18298447 201282917 420864281 530654963 2726468603 4629507091 5837204593 12205064149 29991154633 62708777869 79067589487 134255705639 689796556559 869743484357 1818554558201 20004100140211