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2014121025 = 33527439971
BaseRepresentation
bin111100000001101…
…0000110001000001
312012100220221122000
41320003100301001
513111103333100
6531505334213
7100624513650
oct17003206101
95170827560
102014121025
11943a11a34
12482637369
1326137c8b7
141516d3197
15bbc51900
hex780d0c41

2014121025 has 96 divisors (see below), whose sum is σ = 4242585600. Its totient is φ = 917697600.

The previous prime is 2014121003. The next prime is 2014121029. The reversal of 2014121025 is 5201214102.

It is not a de Polignac number, because 2014121025 - 215 = 2014088257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2014120989 and 2014121007.

It is not an unprimeable number, because it can be changed into a prime (2014121029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2073790 + ... + 2074760.

It is an arithmetic number, because the mean of its divisors is an integer number (44193600).

Almost surely, 22014121025 is an apocalyptic number.

2014121025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2014121025 is an abundant number, since it is smaller than the sum of its proper divisors (2228464575).

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

2014121025 is a wasteful number, since it uses less digits than its factorization.

2014121025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436 (or 1425 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 2014121025 is about 44878.9597138793. The cubic root of 2014121025 is about 1262.8793279014.

Adding to 2014121025 its reverse (5201214102), we get a palindrome (7215335127).

The spelling of 2014121025 in words is "two billion, fourteen million, one hundred twenty-one thousand, twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 105 135 175 189 225 315 439 525 675 945 971 1317 1575 2195 2913 3073 3951 4725 4855 6585 6797 8739 9219 10975 11853 14565 15365 19755 20391 24275 26217 27657 32925 33985 43695 46095 59265 61173 72825 76825 82971 98775 101955 131085 138285 169925 183519 218475 230475 296325 305865 414855 426269 509775 655425 691425 917595 1278807 1529325 2074275 2131345 2983883 3836421 4587975 6394035 8951649 10656725 11509263 14919415 19182105 26854947 31970175 44758245 57546315 74597075 80564841 95910525 134274735 223791225 287731575 402824205 671373675 2014121025