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1023253240410 = 232511369480449
BaseRepresentation
bin11101110001111101010…
…01010101101001011010
310121211012021111102121100
432320332221111221122
5113231110312143120
62102024232052230
7133633112014602
oct16707651255132
93554167442540
101023253240410
11364a60861655
12146391534076
13756529632ab
1437750815c02
151b93cdea490
hexee3ea55a5a

1023253240410 has 24 divisors (see below), whose sum is σ = 2660458425300. Its totient is φ = 272867530752.

The previous prime is 1023253240409. The next prime is 1023253240423. The reversal of 1023253240410 is 140423523201.

1023253240410 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 2 + 5 + 3 + 240 + 410 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 925307401041 + 97945839369 = 961929^2 + 312963^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5684740135 + ... + 5684740314.

Almost surely, 21023253240410 is an apocalyptic number.

1023253240410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1023253240410 is an abundant number, since it is smaller than the sum of its proper divisors (1637205184890).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1023253240410 is a wasteful number, since it uses less digits than its factorization.

1023253240410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11369480462 (or 11369480459 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 1023253240410 its reverse (140423523201), we get a palindrome (1163676763611).

The spelling of 1023253240410 in words is "one trillion, twenty-three billion, two hundred fifty-three million, two hundred forty thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 11369480449 22738960898 34108441347 56847402245 68216882694 102325324041 113694804490 170542206735 204650648082 341084413470 511626620205 1023253240410