Search a number
-
+
22020102202221 = 333153496384261
BaseRepresentation
bin1010000000110111101000…
…10111101010001101101101
32212222002201210011000222000
411000123310113222031231
510341234132130432341
6114455521215042513
74431620442310344
oct500336427521555
985862653130860
1022020102202221
11701a7446a2992
122577787810439
13c39643457a06
14561ac87d8b5b
15282bd7a6b8b6
hex1406f45ea36d

22020102202221 has 32 divisors (see below), whose sum is σ = 34310080189440. Its totient is φ = 13938470020800.

The previous prime is 22020102202207. The next prime is 22020102202237. The reversal of 22020102202221 is 12220220102022.

22020102202221 is a `hidden beast` number, since 2 + 20 + 201 + 0 + 220 + 2 + 221 = 666.

It is not a de Polignac number, because 22020102202221 - 218 = 22020101940077 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22020102202194 and 22020102202203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22020102202271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 248147770 + ... + 248236491.

It is an arithmetic number, because the mean of its divisors is an integer number (1072190005920).

Almost surely, 222020102202221 is an apocalyptic number.

It is an amenable number.

22020102202221 is a deficient number, since it is larger than the sum of its proper divisors (12289977987219).

22020102202221 is a wasteful number, since it uses less digits than its factorization.

22020102202221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496384354 (or 496384348 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22020102202221 its reverse (12220220102022), we get a palindrome (34240322304243).

The spelling of 22020102202221 in words is "twenty-two trillion, twenty billion, one hundred two million, two hundred two thousand, two hundred twenty-one".

Divisors: 1 3 9 27 31 53 93 159 279 477 837 1431 1643 4929 14787 44361 496384261 1489152783 4467458349 13402375047 15387912091 26308365833 46163736273 78925097499 138491208819 236775292497 415473626457 710325877491 815559340823 2446678022469 7340034067407 22020102202221