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2112003313 = 717231973917
BaseRepresentation
bin111110111100010…
…1001110011110001
312110012002212212221
41331320221303301
513311133101223
6545323321041
7103223506030
oct17570516361
95405085787
102112003313
11994197392
124ab380181
13278731504
141606d2717
15c5638b5d
hex7de29cf1

2112003313 has 32 divisors (see below), whose sum is σ = 2681040384. Its totient is φ = 1621036032.

The previous prime is 2112003281. The next prime is 2112003323. The reversal of 2112003313 is 3133002112.

It is not a de Polignac number, because 2112003313 - 25 = 2112003281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2112003323) 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 31 ways as a sum of consecutive naturals, for example, 537231 + ... + 541147.

It is an arithmetic number, because the mean of its divisors is an integer number (83782512).

Almost surely, 22112003313 is an apocalyptic number.

2112003313 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2112003313 is a deficient number, since it is larger than the sum of its proper divisors (569037071).

2112003313 is a wasteful number, since it uses less digits than its factorization.

2112003313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4161.

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 2112003313 is about 45956.5372172447. The cubic root of 2112003313 is about 1283.0144028667.

Adding to 2112003313 its reverse (3133002112), we get a palindrome (5245005425).

The spelling of 2112003313 in words is "two billion, one hundred twelve million, three thousand, three hundred thirteen".

Divisors: 1 7 17 23 119 161 197 391 1379 2737 3349 3917 4531 23443 27419 31717 66589 77027 90091 466123 539189 630637 771649 1531547 5401543 10720829 13118033 17747927 91826231 124235489 301714759 2112003313