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1024443412100 = 225229353256349
BaseRepresentation
bin11101110100001011001…
…01011110111010000100
310121221021020000102020022
432322011211132322010
5113241030003141400
62102342305354312
7134004443220113
oct16720545367204
93557236012208
101024443412100
11365511665219
12146664038998
13757b23c60b4
1437824907c7a
151b9ac643b85
hexee8595ee84

1024443412100 has 36 divisors (see below), whose sum is σ = 2299698838500. Its totient is φ = 395647109760.

The previous prime is 1024443412087. The next prime is 1024443412141. The reversal of 1024443412100 is 12143444201.

It can be written as a sum of positive squares in 6 ways, for example, as 1383988804 + 1023059423296 = 37202^2 + 1011464^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1024443412100.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 176625275 + ... + 176631074.

Almost surely, 21024443412100 is an apocalyptic number.

1024443412100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1024443412100 is an abundant number, since it is smaller than the sum of its proper divisors (1275255426400).

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

1024443412100 is a wasteful number, since it uses less digits than its factorization.

1024443412100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353256392 (or 353256385 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 1024443412100 its reverse (12143444201), we get a palindrome (1036586856301).

The spelling of 1024443412100 in words is "one trillion, twenty-four billion, four hundred forty-three million, four hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 353256349 706512698 1413025396 1766281745 3532563490 7065126980 8831408725 10244434121 17662817450 20488868242 35325634900 40977736484 51222170605 102444341210 204888682420 256110853025 512221706050 1024443412100