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22121113433441 = 1117806811466203
BaseRepresentation
bin1010000011110011110010…
…00110111011010101100001
32220022202110102121020122212
411001321321012323111201
510344413020014332231
6115014144344211505
74442124545515001
oct501717106732541
986282412536585
1022121113433441
117059569922a70
122593278169b95
13c46020607709
1456694bc8c001
1528564a95542b
hex141e791bb561

22121113433441 has 16 divisors (see below), whose sum is σ = 25551994563648. Its totient is φ = 18926908377600.

The previous prime is 22121113433389. The next prime is 22121113433443. The reversal of 22121113433441 is 14433431112122.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22121113433441 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22121113433398 and 22121113433407.

It is not an unprimeable number, because it can be changed into a prime (22121113433443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14354246 + ... + 15820448.

It is an arithmetic number, because the mean of its divisors is an integer number (1596999660228).

Almost surely, 222121113433441 is an apocalyptic number.

It is an amenable number.

22121113433441 is a deficient number, since it is larger than the sum of its proper divisors (3430881130207).

22121113433441 is a wasteful number, since it uses less digits than its factorization.

22121113433441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1546912.

The product of its digits is 13824, while the sum is 32.

Adding to 22121113433441 its reverse (14433431112122), we get a palindrome (36554544545563).

The spelling of 22121113433441 in words is "twenty-two trillion, one hundred twenty-one billion, one hundred thirteen million, four hundred thirty-three thousand, four hundred forty-one".

Divisors: 1 11 17 187 80681 887491 1371577 1466203 15087347 16128233 24925451 274179961 118294724243 1301241966673 2011010312131 22121113433441