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2112013111 = 13223543353
BaseRepresentation
bin111110111100010…
…1100001100110111
312110012010101022211
41331320230030313
513311133404421
6545323434251
7103223546425
oct17570541467
95405111284
102112013111
119941a378a
124ab385987
13278735b00
141606d6115
15c563b9e1
hex7de2c337

2112013111 has 12 divisors (see below), whose sum is σ = 2386410768. Its totient is φ = 1864784064.

The previous prime is 2112013093. The next prime is 2112013117. The reversal of 2112013111 is 1113102112.

It is a happy number.

It is not a de Polignac number, because 2112013111 - 29 = 2112012599 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2112013091 and 2112013100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112013117) 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 11 ways as a sum of consecutive naturals, for example, 267790 + ... + 275563.

It is an arithmetic number, because the mean of its divisors is an integer number (198867564).

Almost surely, 22112013111 is an apocalyptic number.

2112013111 is a deficient number, since it is larger than the sum of its proper divisors (274397657).

2112013111 is a wasteful number, since it uses less digits than its factorization.

2112013111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543402 (or 543389 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

The square root of 2112013111 is about 45956.6438178421. The cubic root of 2112013111 is about 1283.0163869160.

Adding to 2112013111 its reverse (1113102112), we get a palindrome (3225115223).

The spelling of 2112013111 in words is "two billion, one hundred twelve million, thirteen thousand, one hundred eleven".

Divisors: 1 13 23 169 299 3887 543353 7063589 12497119 91826657 162462547 2112013111