Search a number
-
+
133212330331311 = 3711836947912707
BaseRepresentation
bin11110010010011111101001…
…101000010000110010101111
3122110122222022100020222102210
4132102133221220100302233
5114430022323031100221
61151152522201221503
740026162505044420
oct3622375150206257
9573588270228383
10133212330331311
113949a0396a7560
1212b35537a91893
135943b3ab2658a
1424c77229c1647
1510602599d3276
hex7927e9a10caf

133212330331311 has 32 divisors (see below), whose sum is σ = 224111872309248. Its totient is φ = 68367461027040.

The previous prime is 133212330331303. The next prime is 133212330331337. The reversal of 133212330331311 is 113133033212331.

It is not a de Polignac number, because 133212330331311 - 23 = 133212330331303 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133212330336311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3473937181 + ... + 3473975526.

It is an arithmetic number, because the mean of its divisors is an integer number (7003496009664).

Almost surely, 2133212330331311 is an apocalyptic number.

133212330331311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133212330331311 is a deficient number, since it is larger than the sum of its proper divisors (90899541977937).

133212330331311 is a wasteful number, since it uses less digits than its factorization.

133212330331311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6947912811.

The product of its (nonzero) digits is 8748, while the sum is 30.

Adding to 133212330331311 its reverse (113133033212331), we get a palindrome (246345363543642).

The spelling of 133212330331311 in words is "one hundred thirty-three trillion, two hundred twelve billion, three hundred thirty million, three hundred thirty-one thousand, three hundred eleven".

Divisors: 1 3 7 11 21 33 77 83 231 249 581 913 1743 2739 6391 19173 6947912707 20843738121 48635388949 76427039777 145906166847 229281119331 534989278439 576676754681 1604967835317 1730030264043 4036737282767 6343444301491 12110211848301 19030332904473 44404110110437 133212330331311