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22145123402541 = 3216191519808071
BaseRepresentation
bin1010000100100000100000…
…01101101100001100101101
32220102001102201121001101200
411002100100031230030231
510400311203042340131
6115033155041200113
74443634542055626
oct502202015541455
986361381531350
1022145123402541
11706876a925137
122597a59030039
13c483789b4519
14567b88960a4d
152860a37652e6
hex14241036c32d

22145123402541 has 12 divisors (see below), whose sum is σ = 32007157996320. Its totient is φ = 14754296743560.

The previous prime is 22145123402503. The next prime is 22145123402543. The reversal of 22145123402541 is 14520432154122.

22145123402541 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 51 + 23 + 40 + 2 + 541 = 666.

It is not a de Polignac number, because 22145123402541 - 29 = 22145123402029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22145123402496 and 22145123402505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22145123402543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 759889465 + ... + 759918606.

It is an arithmetic number, because the mean of its divisors is an integer number (2667263166360).

Almost surely, 222145123402541 is an apocalyptic number.

It is an amenable number.

22145123402541 is a deficient number, since it is larger than the sum of its proper divisors (9862034593779).

22145123402541 is a wasteful number, since it uses less digits than its factorization.

22145123402541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1519809696 (or 1519809693 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 22145123402541 its reverse (14520432154122), we get a palindrome (36665555556663).

The spelling of 22145123402541 in words is "twenty-two trillion, one hundred forty-five billion, one hundred twenty-three million, four hundred two thousand, five hundred forty-one".

Divisors: 1 3 9 1619 4857 14571 1519808071 4559424213 13678272639 2460569266949 7381707800847 22145123402541