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1012334022 = 2327219193313
BaseRepresentation
bin111100010101101…
…111110111000110
32121112212220012200
4330111233313012
54033124142042
6244241455330
734041461100
oct7425576706
92545786180
101012334022
1147a488597
12243041546
1313196821b
149863c570
155dd1ac4c
hex3c56fdc6

1012334022 has 144 divisors (see below), whose sum is σ = 2708325360. Its totient is φ = 271724544.

The previous prime is 1012334017. The next prime is 1012334027. The reversal of 1012334022 is 2204332101.

It is an interprime number because it is at equal distance from previous prime (1012334017) and next prime (1012334027).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1012333986 and 1012334004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012334027) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 3234138 + ... + 3234450.

It is an arithmetic number, because the mean of its divisors is an integer number (18807815).

Almost surely, 21012334022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012334022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354162680).

1012334022 is an abundant number, since it is smaller than the sum of its proper divisors (1695991338).

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

1012334022 is a wasteful number, since it uses less digits than its factorization.

1012334022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1012334022 is about 31817.1969538487. The cubic root of 1012334022 is about 1004.0945524249.

Adding to 1012334022 its reverse (2204332101), we get a palindrome (3216666123).

The spelling of 1012334022 in words is "one billion, twelve million, three hundred thirty-four thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 49 57 63 98 114 126 133 147 171 193 266 294 313 342 386 399 441 579 626 798 882 931 939 1158 1197 1351 1737 1862 1878 2191 2394 2702 2793 2817 3474 3667 4053 4382 5586 5634 5947 6573 7334 8106 8379 9457 11001 11894 12159 13146 15337 16758 17841 18914 19719 22002 24318 25669 28371 30674 33003 35682 39438 41629 46011 51338 53523 56742 60409 66006 77007 83258 85113 92022 107046 120818 124887 138033 154014 170226 179683 181227 231021 249774 276066 291403 359366 362454 374661 422863 462042 539049 543681 582806 749322 845726 874209 1078098 1087362 1147771 1268589 1617147 1748418 2295542 2537178 2622627 2960041 3234294 3443313 3805767 5245254 5920082 6886626 7611534 8034397 8880123 10329939 16068794 17760246 20659878 24103191 26640369 48206382 53280738 56240779 72309573 112481558 144619146 168722337 337444674 506167011 1012334022