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214006132831810 = 251117114441782263
BaseRepresentation
bin110000101010001100101111…
…100001101111011001000010
31001001201210020100120010222211
4300222030233201233121002
5211022234030001104220
62035053021000252334
763035301321130324
oct6052145741573102
91031653210503884
10214006132831810
1162209544945280
12200039a4a710aa
1392548cb979297
143abbd4879b614
1519b1bcd5b2b5a
hexc2a32f86f642

214006132831810 has 32 divisors (see below), whose sum is σ = 444949649442432. Its totient is φ = 73242740647680.

The previous prime is 214006132831801. The next prime is 214006132831921. The reversal of 214006132831810 is 18138231600412.

It is a super-2 number, since 2×2140061328318102 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57220889262 + ... + 57220893001.

It is an arithmetic number, because the mean of its divisors is an integer number (13904676545076).

Almost surely, 2214006132831810 is an apocalyptic number.

214006132831810 is an abundant number, since it is smaller than the sum of its proper divisors (230943516610622).

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

214006132831810 is a wasteful number, since it uses less digits than its factorization.

214006132831810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114441782298.

The product of its (nonzero) digits is 55296, while the sum is 40.

The spelling of 214006132831810 in words is "two hundred fourteen trillion, six billion, one hundred thirty-two million, eight hundred thirty-one thousand, eight hundred ten".

Divisors: 1 2 5 10 11 17 22 34 55 85 110 170 187 374 935 1870 114441782263 228883564526 572208911315 1144417822630 1258859604893 1945510298471 2517719209786 3891020596942 6294298024465 9727551492355 12588596048930 19455102984710 21400613283181 42801226566362 107003066415905 214006132831810