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2032103112 = 2331325725343
BaseRepresentation
bin111100100011111…
…0110111011001000
312020121202112102020
41321013312323020
513130204244422
6533351004440
7101233406604
oct17107667310
95217675366
102032103112
11953084166
12488669720
132650076a0
14153c54504
15bd60495c
hex791f6ec8

2032103112 has 64 divisors (see below), whose sum is σ = 5492551680. Its totient is φ = 622804992.

The previous prime is 2032103111. The next prime is 2032103123. The reversal of 2032103112 is 2113012302.

It is a junction number, because it is equal to n+sod(n) for n = 2032103091 and 2032103100.

It is not an unprimeable number, because it can be changed into a prime (2032103111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67513 + ... + 92855.

It is an arithmetic number, because the mean of its divisors is an integer number (85821120).

Almost surely, 22032103112 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 2032103112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2746275840).

2032103112 is an abundant number, since it is smaller than the sum of its proper divisors (3460448568).

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

2032103112 is a wasteful number, since it uses less digits than its factorization.

2032103112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25622 (or 25618 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2032103112 is about 45078.8543776348. The cubic root of 2032103112 is about 1266.6265301533.

Adding to 2032103112 its reverse (2113012302), we get a palindrome (4145115414).

The spelling of 2032103112 in words is "two billion, thirty-two million, one hundred three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 257 312 514 771 1028 1542 2056 3084 3341 6168 6682 10023 13364 20046 25343 26728 40092 50686 76029 80184 101372 152058 202744 304116 329459 608232 658918 988377 1317836 1976754 2635672 3953508 6513151 7907016 13026302 19539453 26052604 39078906 52105208 78157812 84670963 156315624 169341926 254012889 338683852 508025778 677367704 1016051556 2032103112