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1022324344041 = 37113132813507
BaseRepresentation
bin11101110000001110100…
…01111000010011101001
310121201210112121121100010
432320013101320103221
5113222210013002131
62101352130402133
7133601102355120
oct16700721702351
93551715547303
101022324344041
11364624493000
12146172430349
1375535390080
14376a32d6ab7
151b8d65b1b46
hexee074784e9

1022324344041 has 64 divisors (see below), whose sum is σ = 1845301118976. Its totient is φ = 490225285440.

The previous prime is 1022324344009. The next prime is 1022324344079. The reversal of 1022324344041 is 1404434232201.

1022324344041 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1022324344041 - 25 = 1022324344009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1022324344441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1043391 + ... + 1770116.

It is an arithmetic number, because the mean of its divisors is an integer number (28832829984).

Almost surely, 21022324344041 is an apocalyptic number.

1022324344041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1022324344041 is a deficient number, since it is larger than the sum of its proper divisors (822976774935).

1022324344041 is a wasteful number, since it uses less digits than its factorization.

1022324344041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2813563 (or 2813541 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 1022324344041 its reverse (1404434232201), we get a palindrome (2426758576242).

The spelling of 1022324344041 in words is "one trillion, twenty-two billion, three hundred twenty-four million, three hundred forty-four thousand, forty-one".

Divisors: 1 3 7 11 13 21 33 39 77 91 121 143 231 273 363 429 847 1001 1331 1573 2541 3003 3993 4719 9317 11011 17303 27951 33033 51909 121121 363363 2813507 8440521 19694549 30948577 36575591 59083647 92845731 109726773 216640039 256029137 340434347 402331501 649920117 768087411 1021303041 1206994503 2383040429 2816320507 3744777817 4425646511 7149121287 8448961521 11234333451 13276939533 26213444719 30979525577 48682111621 78640334157 92938576731 146046334863 340774781347 1022324344041