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21200122021221 = 321113149227487021
BaseRepresentation
bin1001101001000000010011…
…01111100000010101100101
32210001201012221202221021200
410310200021233200111211
510234320322214134341
6113031111314033113
74315441533624633
oct464401157402545
983051187687250
1021200122021221
116833a15216510
122464885b78799
13baa216c52640
1453413ca6a353
1526b6e5625db6
hex134809be0565

21200122021221 has 96 divisors (see below), whose sum is σ = 36377036841600. Its totient is φ = 11728688371200.

The previous prime is 21200122021159. The next prime is 21200122021271. The reversal of 21200122021221 is 12212022100212.

It is a happy number.

21200122021221 is a `hidden beast` number, since 2 + 1 + 200 + 1 + 220 + 21 + 221 = 666.

It is not a de Polignac number, because 21200122021221 - 219 = 21200121496933 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21200122021194 and 21200122021203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21200122021271) 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 95 ways as a sum of consecutive naturals, for example, 43286691 + ... + 43773711.

It is an arithmetic number, because the mean of its divisors is an integer number (378927467100).

Almost surely, 221200122021221 is an apocalyptic number.

It is an amenable number.

21200122021221 is a deficient number, since it is larger than the sum of its proper divisors (15176914820379).

21200122021221 is a wasteful number, since it uses less digits than its factorization.

21200122021221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487427 (or 487424 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21200122021221 its reverse (12212022100212), we get a palindrome (33412144121433).

It can be divided in two parts, 212001 and 22021221, that added together give a palindrome (22233222).

The spelling of 21200122021221 in words is "twenty-one trillion, two hundred billion, one hundred twenty-two million, twenty-one thousand, two hundred twenty-one".

Divisors: 1 3 9 11 13 33 39 99 117 143 149 227 429 447 681 1287 1341 1639 1937 2043 2497 2951 4917 5811 7491 8853 14751 17433 21307 22473 26559 32461 33823 63921 97383 101469 191763 292149 304407 372053 439699 487021 1116159 1319097 1461063 3348477 3957291 4383189 4836689 5357231 6331273 14510067 16071693 18993819 43530201 48215079 56981457 69644003 72566129 110553767 208932009 217698387 331661301 626796027 653095161 798227419 943359677 994983903 1216091437 1437198971 2394682257 2830079031 3648274311 4311596913 7184046771 8490237093 10376956447 10944822933 12934790739 15809188681 16472511283 31130869341 47427566043 49417533849 93392608023 142282698129 148252601547 181197624113 214142646679 543592872339 642427940037 1630778617017 1927283820111 2355569113469 7066707340407 21200122021221