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20221123202329 = 726122692981569
BaseRepresentation
bin1001001100100000110001…
…10111011000110100011001
32122121010020211210001100011
410212100120313120310121
510122300330014433304
6111001242235441521
74154633166153100
oct446203067306431
978533224701304
1020221123202329
11649680397a845
122326ba52b62a1
13b38ac78c33aa
144dc9c9883037
15250ee7991c04
hex126418dd8d19

20221123202329 has 24 divisors (see below), whose sum is σ = 23918691222600. Its totient is φ = 17040734484480.

The previous prime is 20221123202311. The next prime is 20221123202339. The reversal of 20221123202329 is 92320232112202.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 82928448729 + 20138194753600 = 287973^2 + 4487560^2 .

It is not a de Polignac number, because 20221123202329 - 235 = 20186763463961 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 20221123202329.

It is not an unprimeable number, because it can be changed into a prime (20221123202309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5291257 + ... + 8272825.

It is an arithmetic number, because the mean of its divisors is an integer number (996612134275).

Almost surely, 220221123202329 is an apocalyptic number.

It is an amenable number.

20221123202329 is a deficient number, since it is larger than the sum of its proper divisors (3697568020271).

20221123202329 is a wasteful number, since it uses less digits than its factorization.

20221123202329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2983913 (or 2983906 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The spelling of 20221123202329 in words is "twenty trillion, two hundred twenty-one billion, one hundred twenty-three million, two hundred two thousand, three hundred twenty-nine".

Divisors: 1 7 49 61 427 2269 2989 15883 111181 138409 968863 2981569 6782041 20870983 146096881 181875709 1273129963 6765180061 8911909741 47356260427 331493822989 412675983721 2888731886047 20221123202329