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1100331042312 = 233319811150743
BaseRepresentation
bin10000000000110000110…
…101110100011000001000
310220012010221222110102010
4100000300311310120020
5121011434221323222
62201252440535520
7142332141353325
oct20006065643010
93805127873363
101100331042312
11394714207a87
121593027815a0
137c9b75545b8
143b38343bb4c
151d94ea9280c
hex10030d74608

1100331042312 has 64 divisors (see below), whose sum is σ = 2839872245760. Its totient is φ = 354906964800.

The previous prime is 1100331042289. The next prime is 1100331042341. The reversal of 1100331042312 is 2132401330011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7224013 + ... + 7374755.

It is an arithmetic number, because the mean of its divisors is an integer number (44373003840).

Almost surely, 21100331042312 is an apocalyptic number.

1100331042312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1100331042312 is an abundant number, since it is smaller than the sum of its proper divisors (1739541203448).

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

1100331042312 is a wasteful number, since it uses less digits than its factorization.

1100331042312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160594 (or 160590 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 1100331042312 its reverse (2132401330011), we get a palindrome (3232732372323).

The spelling of 1100331042312 in words is "one trillion, one hundred billion, three hundred thirty-one million, forty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 9811 19622 29433 39244 58866 78488 117732 150743 235464 301486 304141 452229 602972 608282 904458 912423 1205944 1216564 1808916 1824846 2433128 3617832 3649692 4673033 7299384 9346066 14019099 18692132 28038198 37384264 56076396 112152792 1478939573 2957879146 4436818719 5915758292 8873637438 11831516584 17747274876 35494549752 45847126763 91694253526 137541380289 183388507052 275082760578 366777014104 550165521156 1100331042312