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21200133020144 = 24133714091955071
BaseRepresentation
bin1001101001000000010100…
…11001011101100111110000
32210001201020201110201222012
410310200022121131213300
510234320333023121034
6113031112345502052
74315442026254521
oct464401231354760
983051221421865
1021200133020144
116833a20449131
1224648897a1928
13baa219303a90
145341402d0848
1526b6e6599cce
hex13480a65d9f0

21200133020144 has 80 divisors (see below), whose sum is σ = 45462696867840. Its totient is φ = 9513464463360.

The previous prime is 21200133020113. The next prime is 21200133020153. The reversal of 21200133020144 is 44102033100212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9866129 + ... + 11821199.

It is an arithmetic number, because the mean of its divisors is an integer number (568283710848).

Almost surely, 221200133020144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21200133020144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22731348433920).

21200133020144 is an abundant number, since it is smaller than the sum of its proper divisors (24262563847696).

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

21200133020144 is a wasteful number, since it uses less digits than its factorization.

21200133020144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1956538 (or 1956532 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 21200133020144 its reverse (44102033100212), we get a palindrome (65302166120356).

The spelling of 21200133020144 in words is "twenty-one trillion, two hundred billion, one hundred thirty-three million, twenty thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 37 52 74 104 148 208 296 481 592 962 1409 1924 2818 3848 5636 7696 11272 18317 22544 36634 52133 73268 104266 146536 208532 293072 417064 677729 834128 1355458 1955071 2710916 3910142 5421832 7820284 10843664 15640568 25415923 31281136 50831846 72337627 101663692 144675254 203327384 289350508 406654768 578701016 940389151 1157402032 1880778302 2754695039 3761556604 5509390078 7523113208 11018780156 15046226416 22037560312 35811035507 44075120624 71622071014 101923716443 143244142028 203847432886 286488284056 407694865772 572976568112 815389731544 1325008313759 1630779463088 2650016627518 5300033255036 10600066510072 21200133020144