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1112033013 = 37132431727
BaseRepresentation
bin100001001001000…
…0100011011110101
32212111111010111220
41002102010123311
54234140024023
6302202420553
736362060520
oct10222043365
92774433456
101112033013
11520793953
12270501759
13149504a00
14a7991bb7
15679613e3
hex424846f5

1112033013 has 48 divisors (see below), whose sum is σ = 1841688576. Its totient is φ = 584400960.

The previous prime is 1112032991. The next prime is 1112033029. The reversal of 1112033013 is 3103302111.

It is not a de Polignac number, because 1112033013 - 25 = 1112032981 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1112032983 and 1112033001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1112033033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1529256 + ... + 1529982.

It is an arithmetic number, because the mean of its divisors is an integer number (38368512).

Almost surely, 21112033013 is an apocalyptic number.

1112033013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1112033013 is a deficient number, since it is larger than the sum of its proper divisors (729655563).

1112033013 is a wasteful number, since it uses less digits than its factorization.

1112033013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 1112033013 is about 33347.1589944331. The cubic root of 1112033013 is about 1036.0305458140.

Adding to 1112033013 its reverse (3103302111), we get a palindrome (4215335124).

The spelling of 1112033013 in words is "one billion, one hundred twelve million, thirty-three thousand, thirteen".

Divisors: 1 3 7 13 21 39 91 169 273 431 507 727 1183 1293 2181 3017 3549 5089 5603 9051 9451 15267 16809 28353 39221 66157 72839 117663 122863 198471 218517 313337 368589 509873 860041 940011 1529619 2193359 2580123 4073381 6580077 12220143 28513667 52953953 85541001 158861859 370677671 1112033013