Search a number
-
+
211321607329 = 7149331612113
BaseRepresentation
bin1100010011001110111…
…1111101010010100001
3202012110100212221001101
43010303233331102201
511430241312413304
6241025123234401
721160514011360
oct3046357752241
9665410787041
10211321607329
11816915a1378
1234b57218a01
1316c09a6b501
14a32998b7d7
15576c38e8a4
hex3133bfd4a1

211321607329 has 16 divisors (see below), whose sum is σ = 243866217600. Its totient is φ = 179373300480.

The previous prime is 211321607327. The next prime is 211321607339. The reversal of 211321607329 is 923706123112.

It is a cyclic number.

It is not a de Polignac number, because 211321607329 - 21 = 211321607327 is a prime.

It is a super-3 number, since 3×2113216073293 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (211321607323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39177 + ... + 651289.

It is an arithmetic number, because the mean of its divisors is an integer number (15241638600).

Almost surely, 2211321607329 is an apocalyptic number.

It is an amenable number.

211321607329 is a deficient number, since it is larger than the sum of its proper divisors (32544610271).

211321607329 is a wasteful number, since it uses less digits than its factorization.

211321607329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612600.

The product of its (nonzero) digits is 27216, while the sum is 37.

The spelling of 211321607329 in words is "two hundred eleven billion, three hundred twenty-one million, six hundred seven thousand, three hundred twenty-nine".

Divisors: 1 7 149 331 1043 2317 49319 345233 612113 4284791 91204837 202609403 638433859 1418265821 30188801047 211321607329