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20021022100011 = 3311493673936869
BaseRepresentation
bin1001000110101100000011…
…11010010000101000101011
32121212222202110020211112110
410203112001322100220223
510111011023124200021
6110325310334413403
74134320406643122
oct443260172205053
977788673224473
1020021022100011
116419960034a09
1222b425b961263
13b22c88665a7a
144d30461a4ab9
1524abd56eb476
hex123581e90a2b

20021022100011 has 32 divisors (see below), whose sum is σ = 27816348672000. Its totient is φ = 12795135949440.

The previous prime is 20021022100003. The next prime is 20021022100061. The reversal of 20021022100011 is 11000122012002.

It is not a de Polignac number, because 20021022100011 - 23 = 20021022100003 is a prime.

It is a super-3 number, since 3×200210221000113 (a number of 41 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20021022100011.

It is not an unprimeable number, because it can be changed into a prime (20021022100061) 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, 3117085 + ... + 7053953.

It is an arithmetic number, because the mean of its divisors is an integer number (869260896000).

Almost surely, 220021022100011 is an apocalyptic number.

20021022100011 is a deficient number, since it is larger than the sum of its proper divisors (7795326571989).

20021022100011 is a wasteful number, since it uses less digits than its factorization.

20021022100011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3937419.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20021022100011 its reverse (11000122012002), we get a palindrome (31021144112013).

The spelling of 20021022100011 in words is "twenty trillion, twenty-one billion, twenty-two million, one hundred thousand, eleven".

Divisors: 1 3 31 93 149 367 447 1101 4619 11377 13857 34131 54683 164049 1695173 3936869 5085519 11810607 122042939 366128817 586593481 1444830923 1759780443 4334492769 18184397911 44789758613 54553193733 134369275839 215279807527 645839422581 6673674033337 20021022100011