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2014202124 = 2232117121009
BaseRepresentation
bin111100000001110…
…0100100100001100
312012101002001212200
41320003210210030
513111113431444
6531511201500
7100625302254
oct17003444414
95171061780
102014202124
11943a67960
12482676290
132613aa79c
14151714964
15bbc6a969
hex780e490c

2014202124 has 108 divisors (see below), whose sum is σ = 5639229960. Its totient is φ = 601171200.

The previous prime is 2014202123. The next prime is 2014202131. The reversal of 2014202124 is 4212024102.

2014202124 is a `hidden beast` number, since 201 + 420 + 21 + 24 = 666.

It is a super-2 number, since 2×20142021242 = 8114020392652222752, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2014202097 and 2014202106.

It is not an unprimeable number, because it can be changed into a prime (2014202123) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1995732 + ... + 1996740.

Almost surely, 22014202124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2014202124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2819614980).

2014202124 is an abundant number, since it is smaller than the sum of its proper divisors (3625027836).

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

2014202124 is a wasteful number, since it uses less digits than its factorization.

2014202124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2014202124 is about 44879.8632350857. The cubic root of 2014202124 is about 1262.8962777064.

Adding to 2014202124 its reverse (4212024102), we get a palindrome (6226226226).

The spelling of 2014202124 in words is "two billion, fourteen million, two hundred two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 71 99 132 142 198 213 284 396 426 639 781 852 1009 1278 1562 2018 2343 2556 3027 3124 4036 4686 5041 6054 7029 9081 9372 10082 11099 12108 14058 15123 18162 20164 22198 28116 30246 33297 36324 44396 45369 55451 60492 66594 71639 90738 99891 110902 133188 143278 166353 181476 199782 214917 221804 286556 332706 399564 429834 499059 644751 665412 788029 859668 998118 1289502 1576058 1996236 2364087 2579004 3152116 4728174 5086369 7092261 9456348 10172738 14184522 15259107 20345476 28369044 30518214 45777321 55950059 61036428 91554642 111900118 167850177 183109284 223800236 335700354 503550531 671400708 1007101062 2014202124