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2014123000 = 23538832281
BaseRepresentation
bin111100000001101…
…0001001111111000
312012100221001100011
41320003101033320
513111103414000
6531505351304
7100624522501
oct17003211770
95170831304
102014123000
11943a1346a
12482638534
13261380776
141516d3ba8
15bbc522ba
hex780d13f8

2014123000 has 64 divisors (see below), whose sum is σ = 4720453920. Its totient is φ = 804384000.

The previous prime is 2014122977. The next prime is 2014123021. The reversal of 2014123000 is 3214102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 881860 + ... + 884140.

Almost surely, 22014123000 is an apocalyptic number.

2014123000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2014123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2360226960).

2014123000 is an abundant number, since it is smaller than the sum of its proper divisors (2706330920).

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

2014123000 is a wasteful number, since it uses less digits than its factorization.

2014123000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3185 (or 3171 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2014123000 is about 44878.9817175034. The cubic root of 2014123000 is about 1262.8797406845.

Adding to 2014123000 its reverse (3214102), we get a palindrome (2017337102).

The spelling of 2014123000 in words is "two billion, fourteen million, one hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 883 1000 1766 2281 3532 4415 4562 7064 8830 9124 11405 17660 18248 22075 22810 35320 44150 45620 57025 88300 91240 110375 114050 176600 220750 228100 285125 441500 456200 570250 883000 1140500 2014123 2281000 4028246 8056492 10070615 16112984 20141230 40282460 50353075 80564920 100706150 201412300 251765375 402824600 503530750 1007061500 2014123000