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1003331232112 = 2411199121723539
BaseRepresentation
bin11101001100110110011…
…00111010000101110000
310112220202212201112212011
432212123030322011300
5112414310243411422
62044531330212304
7132326324521006
oct16463314720560
93486685645764
101003331232112
11357568361990
12142551724094
13737c94948c1
14367c0a32a76
151b173e38077
hexe99b33a170

1003331232112 has 80 divisors (see below), whose sum is σ = 2133175968000. Its totient is φ = 453375774720.

The previous prime is 1003331232041. The next prime is 1003331232149. The reversal of 1003331232112 is 2112321333001.

1003331232112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10033312321122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42612439 + ... + 42635977.

It is an arithmetic number, because the mean of its divisors is an integer number (26664699600).

Almost surely, 21003331232112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1003331232112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066587984000).

1003331232112 is an abundant number, since it is smaller than the sum of its proper divisors (1129844735888).

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

1003331232112 is a wasteful number, since it uses less digits than its factorization.

1003331232112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24974 (or 24968 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 1003331232112 its reverse (2112321333001), we get a palindrome (3115652565113).

The spelling of 1003331232112 in words is "one trillion, three billion, three hundred thirty-one million, two hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 88 176 199 398 796 1217 1592 2189 2434 3184 4378 4868 8756 9736 13387 17512 19472 23539 26774 35024 47078 53548 94156 107096 188312 214192 242183 258929 376624 484366 517858 968732 1035716 1937464 2071432 2664013 3874928 4142864 4684261 5328026 9368522 10656052 18737044 21312104 28646963 37474088 42624208 51526871 57293926 74948176 103053742 114587852 206107484 229175704 315116593 412214968 458351408 630233186 824429936 1260466372 2520932744 5041865488 5700745637 11401491274 22802982548 45605965096 62708202007 91211930192 125416404014 250832808028 501665616056 1003331232112