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11322212121 = 3211237280997
BaseRepresentation
bin10101000101101101…
…10011111100011001
31002020001201222011200
422202312303330121
5141141441241441
65111254144413
7550401133533
oct124266637431
932201658150
1011322212121
114890103600
12223b952109
1310b59016cc
147959c6853
15463ed97b6
hex2a2db3f19

11322212121 has 36 divisors (see below), whose sum is σ = 18462130596. Its totient is φ = 6676464960.

The previous prime is 11322212101. The next prime is 11322212123. The reversal of 11322212121 is 12121222311.

11322212121 is a `hidden beast` number, since 11 + 322 + 212 + 121 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10737104400 + 585107721 = 103620^2 + 24189^2 .

It is not a de Polignac number, because 11322212121 - 25 = 11322212089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11322212094 and 11322212103.

It is not an unprimeable number, because it can be changed into a prime (11322212123) 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 35 ways as a sum of consecutive naturals, for example, 100206 + ... + 180791.

It is an arithmetic number, because the mean of its divisors is an integer number (512836961).

Almost surely, 211322212121 is an apocalyptic number.

11322212121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11322212121 is a deficient number, since it is larger than the sum of its proper divisors (7139918475).

11322212121 is a wasteful number, since it uses less digits than its factorization.

11322212121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281062 (or 281048 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

Adding to 11322212121 its reverse (12121222311), we get a palindrome (23443434432).

The spelling of 11322212121 in words is "eleven billion, three hundred twenty-two million, two hundred twelve thousand, one hundred twenty-one".

Divisors: 1 3 9 11 33 37 99 111 121 333 363 407 1089 1221 3663 4477 13431 40293 280997 842991 2528973 3090967 9272901 10396889 27818703 31190667 34000637 93572001 102001911 114365779 306005733 343097337 1029292011 1258023569 3774070707 11322212121