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222101121101121 = 3237976875982821
BaseRepresentation
bin110010011111111111110010…
…011011010110110101000001
31002010101122211000010121001200
4302133333302123112311001
5213102401044000213441
62104211502500451413
764532163554122413
oct6237776233266501
91063348730117050
10222101121101121
116484a613774119
1220ab08280a9b69
1396c1079974a52
143cbba746249b3
151aa255e7907b6
hexc9fff26d6d41

222101121101121 has 24 divisors (see below), whose sum is σ = 332880080378664. Its totient is φ = 142580379755520.

The previous prime is 222101121101081. The next prime is 222101121101173. The reversal of 222101121101121 is 121101121101222.

It is a happy number.

222101121101121 is a `hidden beast` number, since 222 + 101 + 121 + 101 + 121 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 113858716611600 + 108242404489521 = 10670460^2 + 10403961^2 .

It is not a de Polignac number, because 222101121101121 - 27 = 222101121100993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 222101121101094 and 222101121101103.

It is not an unprimeable number, because it can be changed into a prime (222101121101021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3437959110 + ... + 3438023711.

It is an arithmetic number, because the mean of its divisors is an integer number (13870003349111).

Almost surely, 2222101121101121 is an apocalyptic number.

It is an amenable number.

222101121101121 is a deficient number, since it is larger than the sum of its proper divisors (110778959277543).

222101121101121 is a wasteful number, since it uses less digits than its factorization.

222101121101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6875982961 (or 6875982958 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 222101121101121 its reverse (121101121101222), we get a palindrome (343202242202343).

The spelling of 222101121101121 in words is "two hundred twenty-two trillion, one hundred one billion, one hundred twenty-one million, one hundred one thousand, one hundred twenty-one".

Divisors: 1 3 9 37 97 111 291 333 873 3589 10767 32301 6875982821 20627948463 61883845389 254411364377 666970333637 763234093131 2000911000911 2289702279393 6002733002733 24677902344569 74033707033707 222101121101121