Search a number
-
+
2014123114101 = 37283531640311
BaseRepresentation
bin11101010011110011000…
…101111011111001110101
321010112210200222101100010
4131103303011323321311
5230444411004122401
64141135252210433
7265341563664600
oct35236305737165
97115720871303
102014123114101
11707203a9850a
12286425909a19
13117c1451a717
146d6ac453337
15375d2d2ded6
hex1d4f317be75

2014123114101 has 24 divisors (see below), whose sum is σ = 3124321950144. Its totient is φ = 1150789006080.

The previous prime is 2014123114099. The next prime is 2014123114109. The reversal of 2014123114101 is 1014113214102.

It is not a de Polignac number, because 2014123114101 - 21 = 2014123114099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2014123114109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 407736 + ... + 2048046.

It is an arithmetic number, because the mean of its divisors is an integer number (130180081256).

Almost surely, 22014123114101 is an apocalyptic number.

2014123114101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2014123114101 is a deficient number, since it is larger than the sum of its proper divisors (1110198836043).

2014123114101 is a wasteful number, since it uses less digits than its factorization.

2014123114101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648681 (or 1648674 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 2014123114101 its reverse (1014113214102), we get a palindrome (3028236328203).

The spelling of 2014123114101 in words is "two trillion, fourteen billion, one hundred twenty-three million, one hundred fourteen thousand, one hundred one".

Divisors: 1 3 7 21 49 147 8353 25059 58471 175413 409297 1227891 1640311 4920933 11482177 34446531 80375239 241125717 13701517783 41104553349 95910624481 287731873443 671374371367 2014123114101