Search a number
-
+
211142012334 = 231129443249017
BaseRepresentation
bin1100010010100100001…
…0110110110110101110
3202011222211221120000220
43010221002312312232
511424404323343314
6240555230032210
721153203330661
oct3045102666656
9664884846026
10211142012334
11815aa185a60
1234b07048666
1316bab7a9a96
14a30db9b6d8
15575b7163a9
hex31290b6dae

211142012334 has 64 divisors (see below), whose sum is σ = 477636445440. Its totient is φ = 61636440320.

The previous prime is 211142012321. The next prime is 211142012359. The reversal of 211142012334 is 433210241112.

211142012334 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 723394 + ... + 972410.

It is an arithmetic number, because the mean of its divisors is an integer number (7463069460).

Almost surely, 2211142012334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211142012334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238818222720).

211142012334 is an abundant number, since it is smaller than the sum of its proper divisors (266494433106).

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

211142012334 is a wasteful number, since it uses less digits than its factorization.

211142012334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249505.

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

Adding to 211142012334 its reverse (433210241112), we get a palindrome (644352253446).

The spelling of 211142012334 in words is "two hundred eleven billion, one hundred forty-two million, twelve thousand, three hundred thirty-four".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 174 319 443 638 886 957 1329 1914 2658 4873 9746 12847 14619 25694 29238 38541 77082 141317 249017 282634 423951 498034 747051 847902 1494102 2739187 5478374 7221493 8217561 14442986 16435122 21664479 43328958 79436423 110314531 158872846 220629062 238309269 330943593 476618538 661887186 1213459841 2426919682 3199121399 3640379523 6398242798 7280759046 9597364197 19194728394 35190335389 70380670778 105571006167 211142012334