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22133302011141 = 329279191107793
BaseRepresentation
bin1010000100001010011111…
…00110101010010100000101
32220100220220212120010222120
411002011033212222110011
510400113000303324031
6115023522031520153
74443035566643646
oct502051746522405
986326825503876
1022133302011141
117063753a75882
1225956ba089059
13c47213857479
145673869576cd
15285b10a25a96
hex14214f9aa505

22133302011141 has 24 divisors (see below), whose sum is σ = 30567670024320. Its totient is φ = 14244911218944.

The previous prime is 22133302011113. The next prime is 22133302011169. The reversal of 22133302011141 is 14111020333122.

It is an interprime number because it is at equal distance from previous prime (22133302011113) and next prime (22133302011169).

It is not a de Polignac number, because 22133302011141 - 226 = 22133234902277 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22133302011241) 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 23 ways as a sum of consecutive naturals, for example, 19425741 + ... + 20533533.

It is an arithmetic number, because the mean of its divisors is an integer number (1273652917680).

Almost surely, 222133302011141 is an apocalyptic number.

It is an amenable number.

22133302011141 is a deficient number, since it is larger than the sum of its proper divisors (8434368013179).

22133302011141 is a wasteful number, since it uses less digits than its factorization.

22133302011141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115773 (or 1115744 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 22133302011141 its reverse (14111020333122), we get a palindrome (36244322344263).

The spelling of 22133302011141 in words is "twenty-two trillion, one hundred thirty-three billion, three hundred two million, eleven thousand, one hundred forty-one".

Divisors: 1 3 29 87 841 2523 7919 23757 229651 688953 1107793 3323379 6659879 19979637 32125997 96377991 931653913 2794961739 8772612767 26317838301 254405770243 763217310729 7377767337047 22133302011141