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2112412113 = 327296717257
BaseRepresentation
bin111110111101000…
…1101100111010001
312110012212122122200
41331322031213101
513311234141423
6545340153413
7103230130620
oct17572154721
95405778580
102112412113
11994446539
124ab538869
132788455c6
1416079b6b7
15c56b9d43
hex7de8d9d1

2112412113 has 48 divisors (see below), whose sum is σ = 3661457280. Its totient is φ = 1148007168.

The previous prime is 2112412097. The next prime is 2112412139. The reversal of 2112412113 is 3112142112.

2112412113 is a `hidden beast` number, since 211 + 241 + 211 + 3 = 666.

It is not a de Polignac number, because 2112412113 - 24 = 2112412097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2112412613) 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 47 ways as a sum of consecutive naturals, for example, 113781 + ... + 131037.

It is an arithmetic number, because the mean of its divisors is an integer number (76280360).

Almost surely, 22112412113 is an apocalyptic number.

It is an amenable number.

2112412113 is a deficient number, since it is larger than the sum of its proper divisors (1549045167).

2112412113 is a wasteful number, since it uses less digits than its factorization.

2112412113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17366 (or 17363 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 2112412113 is about 45960.9846826632. The cubic root of 2112412113 is about 1283.0971777449.

Adding to 2112412113 its reverse (3112142112), we get a palindrome (5224554225).

The spelling of 2112412113 in words is "two billion, one hundred twelve million, four hundred twelve thousand, one hundred thirteen".

Divisors: 1 3 7 9 21 29 63 67 87 201 203 261 469 603 609 1407 1827 1943 4221 5829 13601 17257 17487 40803 51771 120799 122409 155313 362397 500453 1087191 1156219 1501359 3468657 3503171 4504077 8093533 10405971 10509513 24280599 31528539 33530351 72841797 100591053 234712457 301773159 704137371 2112412113