Search a number
-
+
233113404311332 = 22199857933413519
BaseRepresentation
bin110101000000001111110001…
…101010000000011100100100
31010120101102102221211000002121
4311000033301222000130210
5221023312223000430312
62143442453004115324
7100046613321013366
oct6500176152003444
91116342387730077
10233113404311332
1168305926530726
122218ab33535b44
13a00c665b0020c
14417ca6b25ad36
151be3c344ae707
hexd403f1a80724

233113404311332 has 24 divisors (see below), whose sum is σ = 410003348832000. Its totient is φ = 115969604357376.

The previous prime is 233113404311329. The next prime is 233113404311341.

233113404311332 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2331134043113322 (a number of 30 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 66584469 + ... + 69997987.

It is an arithmetic number, because the mean of its divisors is an integer number (17083472868000).

Almost surely, 2233113404311332 is an apocalyptic number.

It is an amenable number.

233113404311332 is a deficient number, since it is larger than the sum of its proper divisors (176889944520668).

233113404311332 is a wasteful number, since it uses less digits than its factorization.

233113404311332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3499515 (or 3499513 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 34.

It can be divided in two parts, 23311340 and 4311332, that added together give a palindrome (27622672).

The spelling of 233113404311332 in words is "two hundred thirty-three trillion, one hundred thirteen billion, four hundred four million, three hundred eleven thousand, three hundred thirty-two".

Divisors: 1 2 4 199 398 796 85793 171586 343172 3413519 6827038 13654076 17072807 34145614 68291228 679290281 1358580562 2717161124 292856035567 585712071134 1171424142268 58278351077833 116556702155666 233113404311332