Search a number
-
+
21022002121221 = 32235316319161547
BaseRepresentation
bin1001100011110100100001…
…11110000000101000000101
32202102200110110202111101100
410301322100332000220011
510223411030020334341
6112413212514250313
74266534544512633
oct461722076005005
982380413674340
1021022002121221
116775421178292
122436255b86999
13b9649b994bca
14529682838353
15266c6cee93b6
hex131e90f80a05

21022002121221 has 96 divisors (see below), whose sum is σ = 32651818647552. Its totient is φ = 13003064680320.

The previous prime is 21022002121213. The next prime is 21022002121273. The reversal of 21022002121221 is 12212120022012.

It is a happy number.

21022002121221 is a `hidden beast` number, since 2 + 10 + 220 + 0 + 212 + 1 + 221 = 666.

It is not a de Polignac number, because 21022002121221 - 23 = 21022002121213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21022002121194 and 21022002121203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21022002125221) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 341529370 + ... + 341590916.

It is an arithmetic number, because the mean of its divisors is an integer number (340123110912).

Almost surely, 221022002121221 is an apocalyptic number.

It is an amenable number.

21022002121221 is a deficient number, since it is larger than the sum of its proper divisors (11629816526331).

21022002121221 is a wasteful number, since it uses less digits than its factorization.

21022002121221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61983 (or 61980 counting only the distinct ones).

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

Adding to 21022002121221 its reverse (12212120022012), we get a palindrome (33234122143233).

The spelling of 21022002121221 in words is "twenty-one trillion, twenty-two billion, two million, one hundred twenty-one thousand, two hundred twenty-one".

Divisors: 1 3 9 23 53 69 159 163 191 207 477 489 573 1219 1467 1719 3657 3749 4393 8639 10123 10971 11247 13179 25917 30369 31133 33741 39537 61547 77751 91107 93399 184641 198697 232829 280197 553923 596091 698487 716059 1415581 1650049 1788273 2095461 2148177 3261991 4246743 4950147 6444531 9785973 10032161 11755477 12740229 14850441 29357919 30096483 35266431 37951127 75025793 90289449 105799293 113853381 225077379 230739703 270375971 341560143 531704533 623040281 675232137 692219109 811127913 1595113599 1869120843 1916142751 2076657327 2433383739 4785340797 5607362529 5748428253 12229204259 14329926463 17245284759 36687612777 42989779389 44071283273 101555565803 110062838331 128969338167 132213849819 304666697409 396641549457 914000092227 2335778013469 7007334040407 21022002121221