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1001212000110 = 23357769688871
BaseRepresentation
bin11101001000111001110…
…00101011011101101110
310112201022012000102002000
432210130320223131232
5112400440233000420
62043541143513130
7132222652404030
oct16443470533556
93481265012060
101001212000110
11356680088583
1214205ba587a6
137354c40207a
143665d3bbc50
151b09cd72690
hexe91ce2b76e

1001212000110 has 128 divisors (see below), whose sum is σ = 3055285094400. Its totient is φ = 228550533120.

The previous prime is 1001212000067. The next prime is 1001212000111. The reversal of 1001212000110 is 110002121001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1001212000092 and 1001212000101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001212000111) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1108975 + ... + 1797845.

It is an arithmetic number, because the mean of its divisors is an integer number (23869414800).

Almost surely, 21001212000110 is an apocalyptic number.

1001212000110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001212000110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1527642547200).

1001212000110 is an abundant number, since it is smaller than the sum of its proper divisors (2054073094290).

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

1001212000110 is a wasteful number, since it uses less digits than its factorization.

1001212000110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689663 (or 689657 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1001212000110 its reverse (110002121001), we get a palindrome (1111214121111).

The spelling of 1001212000110 in words is "one trillion, one billion, two hundred twelve million, one hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 769 945 1538 1890 2307 3845 4614 5383 6921 7690 10766 11535 13842 16149 20763 23070 26915 32298 34605 41526 48447 53830 69210 80745 96894 103815 145341 161490 207630 242235 290682 484470 688871 726705 1377742 1453410 2066613 3444355 4133226 4822097 6199839 6888710 9644194 10333065 12399678 14466291 18599517 20666130 24110485 28932582 30999195 37199034 43398873 48220970 61998390 72331455 86797746 92997585 130196619 144662910 185995170 216994365 260393238 433988730 529741799 650983095 1059483598 1301966190 1589225397 2648708995 3178450794 3708192593 4767676191 5297417990 7416385186 7946126985 9535352382 11124577779 14303028573 15892253970 18540962965 22249155558 23838380955 28606057146 33373733337 37081925930 47676761910 55622888895 66747466674 71515142865 100121200011 111245777790 143030285730 166868666685 200242400022 333737333370 500606000055 1001212000110