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1081134130176 = 21032108312
BaseRepresentation
bin11111011101110001001…
…11011010010000000000
310211100121002121021121100
433232320213122100000
5120203130314131201
62144355520254400
7141052340323422
oct17567047322000
93740532537540
101081134130176
11387563038841
12155645771400
137ac483711a9
143a481a86812
151d1c95ad886
hexfbb89da400

1081134130176 has 99 divisors (see below), whose sum is σ = 3122039589123. Its totient is φ = 360344770560.

The previous prime is 1081134130157. The next prime is 1081134130183. The reversal of 1081134130176 is 6710314311801.

It is a happy number.

The square root of 1081134130176 is 1039776.

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

1081134130176 is a `hidden beast` number, since 1 + 0 + 8 + 1 + 1 + 341 + 301 + 7 + 6 = 666.

It is a super-2 number, since 2×10811341301762 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1081134130176.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 99813081 + ... + 99823911.

Almost surely, 21081134130176 is an apocalyptic number.

1081134130176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1081134130176 is the 1039776-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1081134130176

1081134130176 is an abundant number, since it is smaller than the sum of its proper divisors (2040905458947).

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

1081134130176 is an frugal number, since it uses more digits than its factorization.

1081134130176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21688 (or 10836 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

Multiplying 1081134130176 by its sum of digits (36), we get a square (38920828686336 = 62386562).

1081134130176 divided by its sum of digits (36) gives a square (30031503616 = 1732962).

Adding to 1081134130176 its reverse (6710314311801), we get a palindrome (7791448441977).

The spelling of 1081134130176 in words is "one trillion, eighty-one billion, one hundred thirty-four million, one hundred thirty thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 9216 10831 21662 32493 43324 64986 86648 97479 129972 173296 194958 259944 346592 389916 519888 693184 779832 1039776 1386368 1559664 2079552 2772736 3119328 4159104 5545472 6238656 8318208 11090944 12477312 16636416 24954624 33272832 49909248 99818496 117310561 234621122 351931683 469242244 703863366 938484488 1055795049 1407726732 1876968976 2111590098 2815453464 3753937952 4223180196 5630906928 7507875904 8446360392 11261813856 15015751808 16892720784 22523627712 30031503616 33785441568 45047255424 60063007232 67570883136 90094510848 120126014464 135141766272 180189021696 270283532544 360378043392 540567065088 1081134130176