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214341314010 = 23519798357349
BaseRepresentation
bin1100011110011110111…
…1001110010111011010
3202111020210222220212120
43013213233032113122
512002432334022020
6242244514122110
721325402052055
oct3074757162732
9674223886776
10214341314010
11829a10a172a
123565a580336
131729b5627b5
14a534a43a9c
155897527740
hex31e7bce5da

214341314010 has 128 divisors (see below), whose sum is σ = 554964480000. Its totient is φ = 52818884352.

The previous prime is 214341313999. The next prime is 214341314021. The reversal of 214341314010 is 10413143412.

It is an interprime number because it is at equal distance from previous prime (214341313999) and next prime (214341314021).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3708816 + ... + 3766164.

It is an arithmetic number, because the mean of its divisors is an integer number (4335660000).

Almost surely, 2214341314010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214341314010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277482240000).

214341314010 is an abundant number, since it is smaller than the sum of its proper divisors (340623165990).

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

214341314010 is a wasteful number, since it uses less digits than its factorization.

214341314010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57540.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 214341314010 its reverse (10413143412), we get a palindrome (224754457422).

The spelling of 214341314010 in words is "two hundred fourteen billion, three hundred forty-one million, three hundred fourteen thousand, ten".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 79 83 95 114 158 166 190 237 249 285 395 415 474 498 570 790 830 1185 1245 1501 1577 2370 2490 3002 3154 4503 4731 6557 7505 7885 9006 9462 13114 15010 15770 19671 22515 23655 32785 39342 45030 47310 57349 65570 98355 114698 124583 172047 196710 249166 286745 344094 373749 573490 622915 747498 860235 1089631 1245830 1720470 1868745 2179262 3268893 3737490 4530571 4759967 5448155 6537786 9061142 9519934 10896310 13591713 14279901 16344465 22652855 23799835 27183426 28559802 32688930 45305710 47599670 67958565 71399505 86080849 90439373 135917130 142799010 172161698 180878746 258242547 271318119 376037393 430404245 452196865 516485094 542636238 752074786 860808490 904393730 1128112179 1291212735 1356590595 1880186965 2256224358 2582425470 2713181190 3760373930 5640560895 7144710467 11281121790 14289420934 21434131401 35723552335 42868262802 71447104670 107170657005 214341314010