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1023221320431 = 323103367392299
BaseRepresentation
bin11101110001111001011…
…11100100101011101111
310121211010001102201121220
432320330233210223233
5113231024124223211
62102021131554423
7133632243501462
oct16707457445357
93554101381556
101023221320431
11364a4483a702
121463828bba13
137564916842b
143774a4a72d9
151b93a1e2806
hexee3cbe4aef

1023221320431 has 32 divisors (see below), whose sum is σ = 1441354137600. Its totient is φ = 644391833184.

The previous prime is 1023221320409. The next prime is 1023221320447. The reversal of 1023221320431 is 1340231223201.

It is not a de Polignac number, because 1023221320431 - 25 = 1023221320399 is a prime.

It is a super-2 number, since 2×10232213204312 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023221320481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2412120 + ... + 2804418.

It is an arithmetic number, because the mean of its divisors is an integer number (45042316800).

Almost surely, 21023221320431 is an apocalyptic number.

1023221320431 is a deficient number, since it is larger than the sum of its proper divisors (418132817169).

1023221320431 is a wasteful number, since it uses less digits than its factorization.

1023221320431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392795.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1023221320431 its reverse (1340231223201), we get a palindrome (2363452543632).

The spelling of 1023221320431 in words is "one trillion, twenty-three billion, two hundred twenty-one million, three hundred twenty thousand, four hundred thirty-one".

Divisors: 1 3 23 69 103 309 367 1101 2369 7107 8441 25323 37801 113403 392299 869423 1176897 2608269 9022877 27068631 40406797 121220391 143973733 431921199 929356331 2788068993 3311395859 9934187577 14829294499 44487883497 341073773477 1023221320431