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1001120022 = 232747712381
BaseRepresentation
bin111011101010111…
…110000100010110
32120202210011111100
4323222332010112
54022241320042
6243201250530
733544244160
oct7352760426
92522704440
101001120022
11474119321
1223b333a46
1312c53cc16
1496d5d930
155cd5324c
hex3babe116

1001120022 has 96 divisors (see below), whose sum is σ = 2568443904. Its totient is φ = 275889600.

The previous prime is 1001120009. The next prime is 1001120039. The reversal of 1001120022 is 2200211001.

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 = 1001119986 and 1001120013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 419272 + ... + 421652.

It is an arithmetic number, because the mean of its divisors is an integer number (26754624).

Almost surely, 21001120022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001120022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1284221952).

1001120022 is an abundant number, since it is smaller than the sum of its proper divisors (1567323882).

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

1001120022 is a wasteful number, since it uses less digits than its factorization.

1001120022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2514 (or 2511 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1001120022 is about 31640.4807485601. The cubic root of 1001120022 is about 1000.3732013701.

Adding to 1001120022 its reverse (2200211001), we get a palindrome (3201331023).

The spelling of 1001120022 in words is "one billion, one million, one hundred twenty thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 47 63 71 94 126 141 142 213 282 329 423 426 497 639 658 846 987 994 1278 1491 1974 2381 2961 2982 3337 4473 4762 5922 6674 7143 8946 10011 14286 16667 20022 21429 23359 30033 33334 42858 46718 50001 60066 70077 100002 111907 140154 150003 169051 210231 223814 300006 335721 338102 420462 507153 671442 783349 1007163 1014306 1183357 1521459 1566698 2014326 2350047 2366714 3042918 3550071 4700094 7050141 7100142 7945397 10650213 14100282 15890794 21300426 23836191 47672382 55617779 71508573 111235558 143017146 166853337 333706674 500560011 1001120022