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1023232304331 = 33611813432433
BaseRepresentation
bin11101110001111010110…
…01011110010011001011
310121211010211002202201000
432320331121132103023
5113231034432214311
62102022203230043
7133632436036506
oct16707531362313
93554124082630
101023232304331
11364a4aa62006
12146386518323
137564b512a93
143774bb2613d
151b93b162056
hexee3d65e4cb

1023232304331 has 32 divisors (see below), whose sum is σ = 1549263410240. Its totient is φ = 667264780800.

The previous prime is 1023232304317. The next prime is 1023232304383. The reversal of 1023232304331 is 1334032323201.

1023232304331 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 2 + 323 + 0 + 4 + 331 = 666.

It is not a de Polignac number, because 1023232304331 - 27 = 1023232304203 is a prime.

It is a super-2 number, since 2×10232323043312 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1023232304295 and 1023232304304.

It is not an unprimeable number, because it can be changed into a prime (1023232304531) 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, 1418110 + ... + 2014323.

It is an arithmetic number, because the mean of its divisors is an integer number (48414481570).

Almost surely, 21023232304331 is an apocalyptic number.

1023232304331 is a deficient number, since it is larger than the sum of its proper divisors (526031105909).

1023232304331 is a wasteful number, since it uses less digits than its factorization.

1023232304331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3432684 (or 3432678 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 1023232304331 its reverse (1334032323201), we get a palindrome (2357264627532).

The spelling of 1023232304331 in words is "one trillion, twenty-three billion, two hundred thirty-two million, three hundred four thousand, three hundred thirty-one".

Divisors: 1 3 9 27 61 181 183 543 549 1629 1647 4887 11041 33123 99369 298107 3432433 10297299 30891897 92675691 209378413 621270373 628135239 1863811119 1884405717 5591433357 5653217151 16774300071 37897492753 113692478259 341077434777 1023232304331