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1000312024336 = 2461240992
BaseRepresentation
bin11101000111001110011…
…11100010110100010000
310112121222110112220101221
432203213033202310100
5112342114334234321
62043311554134424
7132161443625662
oct16434717426420
93477873486357
101000312024336
11356259072449
12141a4a581414
1373437b16721
14365b5a6a532
151b048d4ce41
hexe8e73e2d10

1000312024336 has 45 divisors (see below), whose sum is σ = 1970878427973. Its totient is φ = 491836714560.

The previous prime is 1000312024307. The next prime is 1000312024343. The reversal of 1000312024336 is 6334202130001.

The square root of 1000312024336 is 1000156.

It is a perfect power (a square), and thus also a powerful number.

1000312024336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 32528286736 + 967783737600 = 180356^2 + 983760^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1000312024336.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 244036015 + ... + 244040113.

Almost surely, 21000312024336 is an apocalyptic number.

1000312024336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1000312024336 is the 1000156-th square number.

It is an amenable number.

1000312024336 is a deficient number, since it is larger than the sum of its proper divisors (970566403637).

1000312024336 is an frugal number, since it uses more digits than its factorization.

1000312024336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8328 (or 4162 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Multiplying 1000312024336 by its sum of digits (25), we get a square (25007800608400 = 50007802).

Adding to 1000312024336 its reverse (6334202130001), we get a palindrome (7334514154337).

The spelling of 1000312024336 in words is "one trillion, three hundred twelve million, twenty-four thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 61 122 244 488 976 3721 4099 7442 8198 14884 16396 29768 32792 59536 65584 250039 500078 1000156 2000312 4000624 15252379 16801801 30504758 33603602 61009516 67207204 122019032 134414408 244038064 268828816 1024909861 2049819722 4099639444 8199278888 16398557776 62519501521 125039003042 250078006084 500156012168 1000312024336