Search a number
-
+
21022100212221 = 3219435197355009
BaseRepresentation
bin1001100011110100101101…
…10100001100100111111101
32202102200201022100000221100
410301322112310030213331
510223411230123242341
6112413230340523313
74266540145334343
oct461722664144775
982380638300840
1021022100212221
116775471585529
1224362829b0539
13b964b60ba814
1452969188d993
15266c769233b6
hex131e96d0c9fd

21022100212221 has 48 divisors (see below), whose sum is σ = 32707986625600. Its totient is φ = 12967860519936.

The previous prime is 21022100212207. The next prime is 21022100212229. The reversal of 21022100212221 is 12221200122012.

It is a happy number.

21022100212221 is a `hidden beast` number, since 2 + 10 + 221 + 0 + 0 + 212 + 221 = 666.

It is not a de Polignac number, because 21022100212221 - 27 = 21022100212093 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21022100212194 and 21022100212203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21022100212229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 382129965 + ... + 382184973.

Almost surely, 221022100212221 is an apocalyptic number.

It is an amenable number.

21022100212221 is a deficient number, since it is larger than the sum of its proper divisors (11685886413379).

21022100212221 is a wasteful number, since it uses less digits than its factorization.

21022100212221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107050 (or 107047 counting only the distinct ones).

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

Adding to 21022100212221 its reverse (12221200122012), we get a palindrome (33243300334233).

The spelling of 21022100212221 in words is "twenty-one trillion, twenty-two billion, one hundred million, two hundred twelve thousand, two hundred twenty-one".

Divisors: 1 3 9 19 43 57 129 171 387 817 2451 7353 51973 55009 155919 165027 467757 495081 987487 1045171 2234839 2365387 2962461 3135513 6704517 7096161 8887383 9406539 20113551 21288483 42461941 44942353 127385823 134827059 382157469 404481177 2858982757 8576948271 25730844813 54320672383 122936258551 162962017149 368808775653 488886051447 1106426326959 2335788912469 7007366737407 21022100212221