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1314000210 = 235175943669
BaseRepresentation
bin100111001010010…
…0000110101010010
310101120112010102110
41032110200311102
510142341001320
6334215330150
744363550255
oct11624406522
93346463373
101314000210
1161479a896
12308080956
1317c2ca523
14c672709c
157a5585e0
hex4e520d52

1314000210 has 64 divisors (see below), whose sum is σ = 3395779200. Its totient is φ = 324191232.

The previous prime is 1314000209. The next prime is 1314000211. The reversal of 1314000210 is 120004131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1314000209) and next prime (1314000211).

It is not an unprimeable number, because it can be changed into a prime (1314000211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8256 + ... + 51924.

It is an arithmetic number, because the mean of its divisors is an integer number (53059050).

Almost surely, 21314000210 is an apocalyptic number.

1314000210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1314000210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1697889600).

1314000210 is an abundant number, since it is smaller than the sum of its proper divisors (2081778990).

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

1314000210 is a wasteful number, since it uses less digits than its factorization.

1314000210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43755.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1314000210 is about 36249.1408174042. The cubic root of 1314000210 is about 1095.2967815887.

Adding to 1314000210 its reverse (120004131), we get a palindrome (1434004341).

The spelling of 1314000210 in words is "one billion, three hundred fourteen million, two hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 15 17 30 34 51 59 85 102 118 170 177 255 295 354 510 590 885 1003 1770 2006 3009 5015 6018 10030 15045 30090 43669 87338 131007 218345 262014 436690 655035 742373 1310070 1484746 2227119 2576471 3711865 4454238 5152942 7423730 7729413 11135595 12882355 15458826 22271190 25764710 38647065 43800007 77294130 87600014 131400021 219000035 262800042 438000070 657000105 1314000210