Search a number
-
+
22201102211121 = 32231911434739139
BaseRepresentation
bin1010000110001000110001…
…10011111001100000110001
32220121101220222121011112100
411003010120303321200301
510402220324131223441
6115115013501251013
74450656003066321
oct503043063714061
986541828534470
1022201102211121
11708a4864645a9
1225a6880263a69
13c5072a3104b2
1456a779345281
1528777ce58cb6
hex143118cf9831

22201102211121 has 48 divisors (see below), whose sum is σ = 33640931450880. Its totient is φ = 14081761599840.

The previous prime is 22201102211089. The next prime is 22201102211137. The reversal of 22201102211121 is 12111220110222.

22201102211121 is a `hidden beast` number, since 2 + 220 + 110 + 2 + 211 + 121 = 666.

It is not a de Polignac number, because 22201102211121 - 25 = 22201102211089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22201102211094 and 22201102211103.

It is not an unprimeable number, because it can be changed into a prime (22201102211021) 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 47 ways as a sum of consecutive naturals, for example, 567217770 + ... + 567256908.

It is an arithmetic number, because the mean of its divisors is an integer number (700852738560).

Almost surely, 222201102211121 is an apocalyptic number.

It is an amenable number.

22201102211121 is a deficient number, since it is larger than the sum of its proper divisors (11439829239759).

22201102211121 is a wasteful number, since it uses less digits than its factorization.

22201102211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53706 (or 53703 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 22201102211121 its reverse (12111220110222), we get a palindrome (34312322321343).

The spelling of 22201102211121 in words is "twenty-two trillion, two hundred one billion, one hundred two million, two hundred eleven thousand, one hundred twenty-one".

Divisors: 1 3 9 23 69 191 207 573 1719 4393 13179 14347 39139 39537 43041 117417 129123 329981 352251 900197 989943 2700591 2740277 2969829 7475549 8101773 8220831 22426647 24662493 63026371 67279941 171937627 189079113 515812881 561527233 567237339 1547438643 1684581699 5053745097 12915126359 38745379077 107251701503 116236137231 321755104509 965265313527 2466789134569 7400367403707 22201102211121