Search a number
-
+
20021320320001 = 7111383401600947
BaseRepresentation
bin1001000110101100100111…
…01011111000010000000001
32121220000112020101222110021
410203112103223320100001
510111012131000220001
6110325400110333441
74134330660530140
oct443262353702001
977800466358407
1020021320320001
116419aa3403010
1222b43237ba281
13b2300538c5c0
144d3073a33757
1524ac019a7ba1
hex123593af8401

20021320320001 has 64 divisors (see below), whose sum is σ = 27273539414016. Its totient is φ = 14191940736000.

The previous prime is 20021320319983. The next prime is 20021320320013. The reversal of 20021320320001 is 10002302312002.

It is a cyclic number.

It is not a de Polignac number, because 20021320320001 - 213 = 20021320311809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20021320320061) 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 63 ways as a sum of consecutive naturals, for example, 33015810 + ... + 33616756.

It is an arithmetic number, because the mean of its divisors is an integer number (426149053344).

Almost surely, 220021320320001 is an apocalyptic number.

It is an amenable number.

20021320320001 is a deficient number, since it is larger than the sum of its proper divisors (7252219094015).

20021320320001 is a wasteful number, since it uses less digits than its factorization.

20021320320001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601462.

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 20021320320001 its reverse (10002302312002), we get a palindrome (30023622632003).

The spelling of 20021320320001 in words is "twenty trillion, twenty-one billion, three hundred twenty million, three hundred twenty thousand, one".

Divisors: 1 7 11 13 77 83 91 143 401 581 913 1001 1079 2807 4411 5213 6391 7553 11869 30877 33283 36491 57343 83083 232981 366113 401401 432679 600947 2562791 3028753 4206629 4759469 6610417 7812311 33316283 46272919 49878601 54686177 85935421 240979747 349150207 548664611 601547947 648421813 1686858229 2650777217 3132736711 3840652277 4538952691 7132639943 18555440519 20001319001 21929156977 34460103821 49928479601 140009233007 220014509011 241220726747 260017147013 1540101563077 1820120029091 2860188617143 20021320320001