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214761082211 = 13232924767741
BaseRepresentation
bin1100100000000011000…
…0100000110101100011
3202112100001212100120222
43020000300200311203
512004312314112321
6242354311153255
721341660036054
oct3100060406543
9675301770528
10214761082211
11830970397a5
123575707582b
1317337505b50
14a5746b272b
1558be2e33ab
hex3200c20d63

214761082211 has 16 divisors (see below), whose sum is σ = 249658839360. Its totient is φ = 183083134080.

The previous prime is 214761082177. The next prime is 214761082241. The reversal of 214761082211 is 112280167412.

It is not a de Polignac number, because 214761082211 - 218 = 214760820067 is a prime.

It is a super-2 number, since 2×2147610822112 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (214761082241) 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 15 ways as a sum of consecutive naturals, for example, 12375200 + ... + 12392541.

It is an arithmetic number, because the mean of its divisors is an integer number (15603677460).

Almost surely, 2214761082211 is an apocalyptic number.

214761082211 is a deficient number, since it is larger than the sum of its proper divisors (34897757149).

214761082211 is a wasteful number, since it uses less digits than its factorization.

214761082211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24767806.

The product of its (nonzero) digits is 10752, while the sum is 35.

The spelling of 214761082211 in words is "two hundred fourteen billion, seven hundred sixty-one million, eighty-two thousand, two hundred eleven".

Divisors: 1 13 23 29 299 377 667 8671 24767741 321980633 569658043 718264489 7405554559 9337438357 16520083247 214761082211