Search a number
-
+
6105100014 = 2321326090171
BaseRepresentation
bin1011010111110010…
…00110111011101110
3120202110211012210100
411223321012323232
5100000401200024
62445445251530
7304201331256
oct55371067356
916673735710
106105100014
112653196002
121224703ba6
13763aa6a20
1441cb6a966
1525ae987c9
hex16be46eee

6105100014 has 24 divisors (see below), whose sum is σ = 14245233912. Its totient is φ = 1878492240.

The previous prime is 6105100009. The next prime is 6105100019. The reversal of 6105100014 is 4100015016.

6105100014 is a `hidden beast` number, since 610 + 51 + 0 + 0 + 0 + 1 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (6105100009) and next prime (6105100019).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 6105100014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6105100019) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13044852 + ... + 13045319.

It is an arithmetic number, because the mean of its divisors is an integer number (593551413).

Almost surely, 26105100014 is an apocalyptic number.

6105100014 is an abundant number, since it is smaller than the sum of its proper divisors (8140133898).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6105100014 is a wasteful number, since it uses less digits than its factorization.

6105100014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26090192 (or 26090189 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 6105100014 is about 78135.1394316283. The cubic root of 6105100014 is about 1827.6692049786.

The spelling of 6105100014 in words is "six billion, one hundred five million, one hundred thousand, fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 26090171 52180342 78270513 156541026 234811539 339172223 469623078 678344446 1017516669 2035033338 3052550007 6105100014