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2106441207 = 34136773409
BaseRepresentation
bin111110110001101…
…1011110111110111
312102210122022010000
41331203123313313
513303222104312
6545004202343
7103125312003
oct17543336767
95383568100
102106441207
11991038502
124a95393b3
13277534920
1415da85703
15c4ddaadc
hex7d8dbdf7

2106441207 has 80 divisors (see below), whose sum is σ = 3494925280. Its totient is φ = 1256352768.

The previous prime is 2106441199. The next prime is 2106441217. The reversal of 2106441207 is 7021446012.

2106441207 is a `hidden beast` number, since 2 + 1 + 0 + 644 + 12 + 0 + 7 = 666.

It is not a de Polignac number, because 2106441207 - 23 = 2106441199 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2106441217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5150019 + ... + 5150427.

It is an arithmetic number, because the mean of its divisors is an integer number (43686566).

Almost surely, 22106441207 is an apocalyptic number.

2106441207 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

2106441207 is a deficient number, since it is larger than the sum of its proper divisors (1388484073).

2106441207 is a wasteful number, since it uses less digits than its factorization.

2106441207 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2106441207 is about 45895.9824712360. The cubic root of 2106441207 is about 1281.8871104585.

Adding to 2106441207 its reverse (7021446012), we get a palindrome (9127887219).

The spelling of 2106441207 in words is "two billion, one hundred six million, four hundred forty-one thousand, two hundred seven".

Divisors: 1 3 9 13 27 39 67 73 81 117 201 219 351 409 603 657 871 949 1053 1227 1809 1971 2613 2847 3681 4891 5317 5427 5913 7839 8541 11043 14673 15951 23517 25623 27403 29857 33129 44019 47853 63583 70551 76869 82209 89571 132057 143559 190749 246627 268713 356239 388141 396171 430677 572247 739881 806139 1068717 1164423 1716741 2000419 2219643 2418417 3206151 3493269 5150223 6001257 9618453 10479807 18003771 26005447 28855359 31439421 54011313 78016341 162033939 234049023 702147069 2106441207