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1112001012 = 2232471813631
BaseRepresentation
bin100001001000111…
…1100100111110100
32212111102111121200
41002101330213310
54234133013022
6302202012500
736361565313
oct10221744764
92774374550
101112001012
11520771901
122704a7130
131494c3285
14a798427a
1567956bac
hex4247c9f4

1112001012 has 72 divisors (see below), whose sum is σ = 2887352832. Its totient is φ = 360676800.

The previous prime is 1112001001. The next prime is 1112001029. The reversal of 1112001012 is 2101002111.

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 = 1112000985 and 1112001003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 304437 + ... + 308067.

Almost surely, 21112001012 is an apocalyptic number.

1112001012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1112001012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1443676416).

1112001012 is an abundant number, since it is smaller than the sum of its proper divisors (1775351820).

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

1112001012 is a wasteful number, since it uses less digits than its factorization.

1112001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3869 (or 3864 counting only the distinct ones).

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

The square root of 1112001012 is about 33346.6791749943. The cubic root of 1112001012 is about 1036.0206077603.

Adding to 1112001012 its reverse (2101002111), we get a palindrome (3213003123).

The spelling of 1112001012 in words is "one billion, one hundred twelve million, one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 181 188 282 362 423 543 564 724 846 1086 1629 1692 2172 3258 3631 6516 7262 8507 10893 14524 17014 21786 25521 32679 34028 43572 51042 65358 76563 102084 130716 153126 170657 306252 341314 511971 657211 682628 1023942 1314422 1535913 1971633 2047884 2628844 3071826 3943266 5914899 6143652 7886532 11829798 23659596 30888917 61777834 92666751 123555668 185333502 278000253 370667004 556000506 1112001012