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1002122222211 = 321161547303367
BaseRepresentation
bin11101001010100110010…
…00111001101010000011
310112210122121202111001200
432211103020321222003
5112404321242102321
62044211341032243
7132254344225545
oct16452310715203
93483577674050
101002122222211
11356aa7961950
12142274855683
1373665b67426
1436708239695
151b102c1cd26
hexe953239a83

1002122222211 has 48 divisors (see below), whose sum is σ = 1607928062208. Its totient is φ = 596296209600.

The previous prime is 1002122222191. The next prime is 1002122222219. The reversal of 1002122222211 is 1122222212001.

It is a happy number.

1002122222211 is a `hidden beast` number, since 10 + 0 + 212 + 222 + 221 + 1 = 666.

It is not a de Polignac number, because 1002122222211 - 26 = 1002122222147 is a prime.

It is a super-2 number, since 2×10021222222112 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1002122222219) 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, 3151650 + ... + 3455016.

It is an arithmetic number, because the mean of its divisors is an integer number (33498501296).

Almost surely, 21002122222211 is an apocalyptic number.

1002122222211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1002122222211 is a deficient number, since it is larger than the sum of its proper divisors (605805839997).

1002122222211 is a wasteful number, since it uses less digits than its factorization.

1002122222211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303992 (or 303989 counting only the distinct ones).

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

Adding to 1002122222211 its reverse (1122222212001), we get a palindrome (2124344434212).

The spelling of 1002122222211 in words is "one trillion, two billion, one hundred twenty-two million, two hundred twenty-two thousand, two hundred eleven".

Divisors: 1 3 9 11 33 61 99 183 547 549 671 1641 2013 4923 6017 6039 18051 33367 54153 100101 300303 303367 367037 910101 1101111 2730303 3303333 3337037 10011111 18505387 30033333 55516161 165941749 166548483 203559257 497825247 610677771 1493475741 1825359239 1832033313 5476077717 10122446689 16428233151 30367340067 91102020201 111346913579 334040740737 1002122222211