Search a number
-
+
2112111351 = 32741817697
BaseRepresentation
bin111110111100100…
…0100001011110111
312110012022101002100
41331321010023313
513311200030401
6545325513143
7103224436020
oct17571041367
95405271070
102112111351
11994260579
124ab4127b3
1327876b73c
1416071dc47
15c565ab86
hex7de442f7

2112111351 has 24 divisors (see below), whose sum is σ = 3571704864. Its totient is φ = 1177482240.

The previous prime is 2112111349. The next prime is 2112111359. The reversal of 2112111351 is 1531112112.

It is not a de Polignac number, because 2112111351 - 21 = 2112111349 is a prime.

It is a super-2 number, since 2×21121113512 = 8922028718046090402, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112111359) 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 23 ways as a sum of consecutive naturals, for example, 406266 + ... + 411431.

It is an arithmetic number, because the mean of its divisors is an integer number (148821036).

Almost surely, 22112111351 is an apocalyptic number.

2112111351 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2112111351 is a deficient number, since it is larger than the sum of its proper divisors (1459593513).

2112111351 is a wasteful number, since it uses less digits than its factorization.

2112111351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817751 (or 817748 counting only the distinct ones).

The product of its digits is 60, while the sum is 18.

The square root of 2112111351 is about 45957.7126389032. The cubic root of 2112111351 is about 1283.0362797179.

Adding to 2112111351 its reverse (1531112112), we get a palindrome (3643223463).

The spelling of 2112111351 in words is "two billion, one hundred twelve million, one hundred eleven thousand, three hundred fifty-one".

Divisors: 1 3 7 9 21 41 63 123 287 369 861 2583 817697 2453091 5723879 7359273 17171637 33525577 51514911 100576731 234679039 301730193 704037117 2112111351